Least Common Multiple of 23, 506, 264

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 23, 506, 264 i.e. 6072 smallest integer divisible by all numbers.

Least common multiple (LCM) of 23, 506, 264 is 6072.

LCM(23, 506, 264) = 6072

LCM of 23, 506, 264

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

LCM of:

Least Common Multiple of 23,506,264

Least Common Multiple (LCM) of 23,506,264 is 6072

2 23, 506, 264
11 23, 253, 132
23 23, 23, 12
1, 1, 12

∴ So the LCM of the given numbers is 2 x 11 x 23 x 1 x 1 x 12 = 6072

Least Common Multiple of 23,506,264 with GCF Formula

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

We need to calculate greatest common factor of 23,506,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,506,264) = 1

common factors(in case of two or more numbers have common factors) = 506

GCF(23,506,264) x common factors =1 x 506 = 506

LCM(23,506,264) = ( 23 × 506 × 264 ) / 506

LCM(23,506,264) = 3072432 / 506

LCM(23,506,264) = 6072

∴ Least Common Multiple of 23,506,264 is 6072

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 23, 506, 264

1. What is the LCM of 23, 506, 264?

Answer: LCM of 23, 506, 264 is 6072.

2. What are the Factors of 6072?

Answer: Factors of 6072 are . There are integers that are factors of 6072

3. How to Find the LCM of 23, 506, 264 ?

Least Common Multiple of 23, 506, 264.

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(23, 506, 264) = 2 x 2 x 2 x 3 x 11 x 23 = 6072.