Least Common Multiple of 204, 768

Q: How to Find the LCM of 204, 768 ?

Least Common Multiple of 204, 768 = 13056 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(204, 768) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 = 13056.

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 204, 768 i.e. 13056 smallest integer divisible by all numbers.

Least common multiple (LCM) of 204, 768 is 13056.

LCM(204, 768) = 13056

LCM of 204, 768

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

Least Common Multiple of 204, 768 by common division method
Least Common Multiple of 204, 768 with GCF Formula

Least Common Multiple of 204,768

Least Common Multiple (LCM) of 204,768 is 13056

2	204, 768
2	102, 384
3	51, 192
	17, 64

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 64 = 13056

Least Common Multiple of 204,768 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 204,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,768) = 12

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

GCF(204,768) x common factors =12 x 1 = 12

LCM(204,768) = ( 204 × 768 ) / 12

LCM(204,768) = 156672 / 12

LCM(204,768) = 13056

∴ Least Common Multiple of 204,768 is 13056

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 204, 768

1. What is the LCM of 204, 768?

Answer: LCM of 204, 768 is 13056.

2. What are the Factors of 13056?

Answer: Factors of 13056 are . There are integers that are factors of 13056

3. How to Find the LCM of 204, 768 ?

Least Common Multiple of 204, 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(204, 768) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 = 13056.