Least Common Multiple of 252, 768

Q: How to Find the LCM of 252, 768 ?

Least Common Multiple of 252, 768 = 16128 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(252, 768) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 = 16128.

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 252, 768 i.e. 16128 smallest integer divisible by all numbers.

Least common multiple (LCM) of 252, 768 is 16128.

LCM(252, 768) = 16128

LCM of 252, 768

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

Least Common Multiple of 252, 768 by common division method
Least Common Multiple of 252, 768 with GCF Formula

Least Common Multiple of 252,768

Least Common Multiple (LCM) of 252,768 is 16128

2	252, 768
2	126, 384
3	63, 192
	21, 64

∴ So the LCM of the given numbers is 2 x 2 x 3 x 21 x 64 = 16128

Least Common Multiple of 252,768 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 252,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,768) = 12

common factors(in case of two or more numbers have common factors) = 1

GCF(252,768) x common factors =12 x 1 = 12

LCM(252,768) = ( 252 × 768 ) / 12

LCM(252,768) = 193536 / 12

LCM(252,768) = 16128

∴ Least Common Multiple of 252,768 is 16128

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 252, 768

1. What is the LCM of 252, 768?

Answer: LCM of 252, 768 is 16128.

2. What are the Factors of 16128?

Answer: Factors of 16128 are . There are integers that are factors of 16128

3. How to Find the LCM of 252, 768 ?

Least Common Multiple of 252, 768.

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(252, 768) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 = 16128.