Least Common Multiple of 269, 664, 312

Q: How to Find the LCM of 269, 664, 312 ?

Least Common Multiple of 269, 664, 312 = 6966024 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(269, 664, 312) = 2 x 2 x 2 x 3 x 13 x 83 x 269 = 6966024.

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 269, 664, 312 i.e. 6966024 smallest integer divisible by all numbers.

Least common multiple (LCM) of 269, 664, 312 is 6966024.

LCM(269, 664, 312) = 6966024

LCM of 269, 664, 312

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

Least Common Multiple of 269, 664, 312 by common division method
Least Common Multiple of 269, 664, 312 with GCF Formula

Least Common Multiple of 269,664,312

Least Common Multiple (LCM) of 269,664,312 is 6966024

2	269, 664, 312
2	269, 332, 156
2	269, 166, 78
	269, 83, 39

∴ So the LCM of the given numbers is 2 x 2 x 2 x 269 x 83 x 39 = 6966024

Least Common Multiple of 269,664,312 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 269,664,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(269,664,312) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(269,664,312) x common factors =1 x 8 = 8

LCM(269,664,312) = ( 269 × 664 × 312 ) / 8

LCM(269,664,312) = 55728192 / 8

LCM(269,664,312) = 6966024

∴ Least Common Multiple of 269,664,312 is 6966024

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 269, 664, 312

1. What is the LCM of 269, 664, 312?

Answer: LCM of 269, 664, 312 is 6966024.

2. What are the Factors of 6966024?

Answer: Factors of 6966024 are . There are integers that are factors of 6966024

3. How to Find the LCM of 269, 664, 312 ?

Least Common Multiple of 269, 664, 312.

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(269, 664, 312) = 2 x 2 x 2 x 3 x 13 x 83 x 269 = 6966024.