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what is the lcm of 24 36 and 60

by Dewayne Durgan Published 3 years ago Updated 2 years ago

The LCM of 24,36,60 24 , 36 , 60 is the result of multiplying all prime factors the greatest number of times they occur in either number. The LCM of 24,36,60 24 , 36 , 60 is 2⋅2⋅2⋅3⋅3⋅5=360 2 ⋅ 2 ⋅ 2 ⋅ 3 ⋅ 3 ⋅ 5 = 360 .

How do you solve LCM of 24 and 36?

Type 1: Find the greatest or smallest number.

  • Options
  • Correct option: D. The H.C.F. and L.C.M. ...
  • Options
  • A. 288
  • B. 300
  • C. 308
  • D. 280. Solution : We know that, Product of two numbers = H.C.F x L.C.M
  • Correct option: A. Find the greatest number which on dividing 1484 and 2045 leaves remainders 4 and 5 respectively?
  • Options
  • Correct option: D. Type 2: How to Solve LCM and HCF Questions Quickly. ...

What is the greatest common factor of 24 and 36?

It's also commonly known as:

  • Greatest Common Denominator (GCD)
  • Highest Common Factor (HCF)
  • Greatest Common Divisor (GCD)

What are some common multiples of 24 and 36?

How to find LCM by Prime Factorization using Exponents

  • Prime factors of 24 = 2 × 2 × 2 × 3 = 2 3 × 3 1
  • Prime factors of 300 = 2 × 2 × 3 × 5 × 5 = 2 2 × 3 1 × 5 2
  • List all the prime numbers found, as many times as they occur most often for any one given number and multiply them together to find the LCM 2 × 2 ...

More items...

What is the least common denominator for 24 and 36?

Least Common Multiple of 24 and 36 = 72. Step 1: Find the prime factorization of 24. 24 = 2 x 2 x 2 x 3. Step 2: Find the prime factorization of 36. 36 = 2 x 2 x 3 x 3. Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm: LCM = 72 = 2 x 2 x 2 x 3 x 3.

What is the LCM of 24 32 and 60?

The least common multiple of 24, 32 and 60 is 480.

What is the HCF and LCM of 24 36 and 60?

Expert-verified answer H.C.F of 24, 36 and 60 is 4.

What is the greatest common multiple of 24 36 and 60?

The common factors for 24,36,60 24 , 36 , 60 are 1,2,3,4,6,12 1 , 2 , 3 , 4 , 6 , 12 . The GCF (HCF) of the numerical factors 1,2,3,4,6,12 1 , 2 , 3 , 4 , 6 , 12 is 12 .

What is the LCM of 24 36 and 30?

Calculate the LCM The least common multiple of 30, 24 and 36 is 360.

What is the LCM of 24 36 and 40?

360Answer: LCM of (24, 36, 40) = 360 And the LCM is the smallest or least positive integer that is divisible by both a and b.

What is the LCM of 24 36?

72The LCM of 24 and 36 is 72.

What are the LCM of 36?

12:12,24,36_,48,60,72,... 36 is the first number that occurs in both lists. So 36 is the LCM.

What is the LCM and HCF of 24 and 36?

Therefore, the LCM is 72. Example 2: Find the HCF of 24 and 36, if their LCM is 72. Therefore, the highest common factor of 24 and 36 is 12.

What LCM 24?

The LCM of 24 and 36 is 72. To find the least common multiple of 24 and 36, we need to find the multiples of 24 and 36 (multiples of 24 = 24, 48, 72, 96; multiples of 36 = 36, 72, 108, 144) and choose the smallest multiple that is exactly divisible by 24 and 36, i.e., 72.

What is the LCM of 30 24 and 60?

Calculate the LCM The least common multiple of 24, 30 and 60 is 120.

What is the LCM of 24 36 and 50?

Calculate the LCM The least common multiple of 24, 36 and 50 is 1800.

What is the LCM of 24 36 and 42?

Calculate the LCM The least common multiple of 24, 42 and 36 is 504.

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.

LCM of 24 and 60 by Listing Multiples

To calculate the LCM of 24 and 60 by listing out the common multiples, we can follow the given below steps:

LCM of 24 and 60 by Division Method

To calculate the LCM of 24 and 60 by the division method, we will divide the numbers (24, 60) by their prime factors (preferably common). The product of these divisors gives the LCM of 24 and 60.

Which of the following is the LCM of 24 and 60? 120, 28, 18, 2

The value of LCM of 24, 60 is the smallest common multiple of 24 and 60. The number satisfying the given condition is 120.

What is the Relation Between GCF and LCM of 24, 60?

The following equation can be used to express the relation between GCF and LCM of 24 and 60, i.e. GCF × LCM = 24 × 60.

Least Common Multiple (LCM) of 36 and 60 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36 and 60. First we will calculate the prime factors of 36 and 60.

Least Common Multiple of 36 and 60 with GCF Formula

The formula of LCM is LCM (a,b) = ( a × b) / GCF (a,b). We need to calculate greatest common factor 36 and 60, than apply into the LCM equation.

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