Least Common Multiple of 36, 57, 16, 64

Q: How to Find the LCM of 36, 57, 16, 64 ?

Least Common Multiple of 36, 57, 16, 64 = 10944 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(36, 57, 16, 64) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 = 10944.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 36, 57, 16, 64 i.e. 10944 smallest integer divisible by all numbers.

Least common multiple (LCM) of 36, 57, 16, 64 is 10944.

LCM(36, 57, 16, 64) = 10944

LCM of 36, 57, 16, 64

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 36, 57, 16, 64 by common division method
Least Common Multiple of 36, 57, 16, 64 with GCF Formula

Least Common Multiple of 36,57,16,64

Least Common Multiple (LCM) of 36,57,16,64 is 10944

2	36, 57, 16, 64
2	18, 57, 8, 32
2	9, 57, 4, 16
2	9, 57, 2, 8
3	9, 57, 1, 4
	3, 19, 1, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 19 x 1 x 4 = 10944

Least Common Multiple of 36,57,16,64 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 36,57,16,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,57,16,64) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(36,57,16,64) x common factors =1 x 192 = 192

LCM(36,57,16,64) = ( 36 × 57 × 16 × 64 ) / 192

LCM(36,57,16,64) = 2101248 / 192

LCM(36,57,16,64) = 10944

∴ Least Common Multiple of 36,57,16,64 is 10944

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 36, 57, 16, 64

1. What is the LCM of 36, 57, 16, 64?

Answer: LCM of 36, 57, 16, 64 is 10944.

2. What are the Factors of 10944?

Answer: Factors of 10944 are . There are integers that are factors of 10944

3. How to Find the LCM of 36, 57, 16, 64 ?

Least Common Multiple of 36, 57, 16, 64.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(36, 57, 16, 64) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 = 10944.