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what is the least common multiple of 4 and 12

by Mr. Clement Greenfelder Sr. Published 3 years ago Updated 3 years ago

12

What is the greatest common multiple of 4 and 12?

  • Greatest Common Factor of 4 and 12 by Prime factorization method. Prime factors of 4 are 2.
  • Greatest Common Factor of 4 and 12 by matching factors method. List of positive integer factors of 4 that divides 4 without a remainder. ...
  • Properties of GCF 4 and 12
  • Frequently Asked Questions on GCF of 4 and 12. What is the GCF of 4 and 12? ...

What are all the common factors of 4 and 12?

Factors Multiples; 1: 1: 2: 3: 4: 5: 6: 7: 8: 9: 10: 1, 2: 2: 4: 6: 8: 10: 12: 14: 16: 18: ...

What are three common multiplies for 4 and 12?

The common multiples are in intervals of 12 (the least common multiple), so you can continue the green list above with more common multiples of 4 and 12 by simply adding 12 to the last number on the list. Need another answer? Get common multiples here:

How do you calculate least common multiple?

  • List all the multiples of 3 numbers till you have at least one of the multiples appear on all the lists.
  • Find the number that is the smallest and is present on all the lists.
  • That itself is the Least Common Multiple of the numbers.

What is the LCM of 4 and 12?

LCM of 4 and 12 is 12.

What are the Factors of 4?

Factors of 4 are 1, 2, 4. There are 3 integers that are factors of 4. The greatest factor of 4 is 4.

What are the Factors of 12?

Factors of 12 are 1, 2, 3, 4, 6, 12. There are integers that are factors of 12. The greatest factor of 12 is 12.

How to Find the LCM of 4 and 12?

Least Common Multiple of 4 and 12 = 12 Step 1: Find the prime factorization of 4 4 = 2 x 2 Step 2: Find the prime factorization of 12 12 = 2 x 2 x...

LCM of 4 and 12 by Listing Multiples

To calculate the LCM of 4 and 12 by listing out the common multiples, we can follow the given below steps:

LCM of 4 and 12 by Prime Factorization

Prime factorization of 4 and 12 is (2 × 2) = 2 2 and (2 × 2 × 3) = 2 2 × 3 1 respectively. LCM of 4 and 12 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 2 2 × 3 1 = 12. Hence, the LCM of 4 and 12 by prime factorization is 12.

LCM of 4 and 12 by Division Method

To calculate the LCM of 4 and 12 by the division method, we will divide the numbers (4, 12) by their prime factors (preferably common). The product of these divisors gives the LCM of 4 and 12.

What is the LCM of 4 and 12?

The LCM of 4 and 12 is 12. To find the least common multiple (LCM) of 4 and 12, we need to find the multiples of 4 and 12 (multiples of 4 = 4, 8, 12, 16; multiples of 12 = 12, 24, 36, 48) and choose the smallest multiple that is exactly divisible by 4 and 12, i.e., 12.

What is the Relation Between GCF and LCM of 4, 12?

The following equation can be used to express the relation between GCF and LCM of 4 and 12, i.e. GCF × LCM = 4 × 12.

How to Find the LCM of 4 and 12 by Prime Factorization?

To find the LCM of 4 and 12 using prime factorization, we will find the prime factors, (4 = 2 × 2) and (12 = 2 × 2 × 3). LCM of 4 and 12 is the product of prime factors raised to their respective highest exponent among the numbers 4 and 12.

What are prime factors of 4?

Prime factors of 4 are 2. Prime factorization of 4 in exponential form is: Prime factors of 12 are 2,3. Prime factorization of 12 in exponential form is: Now multiplying the highest exponent prime factors to calculate the LCM of 4 and 12. List of positive integer factors of 4 that divides 4 without a remainder.

What is the formula for LCM?

The formula of LCM is LCM (a,b) = ( a × b) / GCF (a,b). #N#We need to calculate greatest common factor 4 and 12, than apply into the LCM equation.

What is the Least Common Multiple?

In simple terms, the LCM is the smallest possible whole number (an integer) that divides evenly into all of the numbers in the set. It's also sometimes called the least common divisor, or LCD.

Prime Factors

As the numbers get larger, or you want to compare multiple numbers at the same time to find the GCF, you can see how listing out all of the factors would become too much. To fix this, you can use prime factors.

Other Ways to Calculate LCM

There are a number of other ways in which you can calculate the least common multiple of numbers, including:

What is the least common multiple?

In mathematics, the least common multiple, also known as the lowest common multiple of two (or more) integers a and b, is the smallest positive integer that is divisible by both . It is commonly denoted as LCM (a, b).

How to find LCM of integers?

The LCM is then determined by multiplying the highest power of each prime number together.

Least Common Multiple (LCM) of 4 and 12 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4 and 12. First we will calculate the prime factors of 4 and 12.

Least Common Multiple of 4 and 12 with GCF Formula

The formula of LCM is LCM (a,b) = ( a × b) / GCF (a,b). We need to calculate greatest common factor 4 and 12, than apply into the LCM equation.

What is the LCM of a number?

The Least Common Multiple ( LCM) is also referred to as the Lowest Common Multiple ( LCM) and Least Common Divisor ( LCD). For two integers a and b, denoted LCM (a,b), the LCM is the smallest positive integer that is evenly divisible by both a and b. For example, LCM (2,3) = 6 and LCM (6,10) = 30.

Which method is the fastest to find the LCM?

People use the cake or ladder method as the fastest and easiest way to find the LCM because it is simple division. The cake method is the same as the ladder method, the box method, the factor box method and the grid method of shortcuts to find the LCM.

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