Least Common Multiple of 268, 235, 269, 560, 552

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 268, 235, 269, 560, 552 i.e. 32731209840 smallest integer divisible by all numbers.

Least common multiple (LCM) of 268, 235, 269, 560, 552 is 32731209840.

LCM(268, 235, 269, 560, 552) = 32731209840

LCM of 268, 235, 269, 560, 552

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

LCM of:

Least Common Multiple of 268,235,269,560,552

Least Common Multiple (LCM) of 268,235,269,560,552 is 32731209840

2 268, 235, 269, 560, 552
2 134, 235, 269, 280, 276
2 67, 235, 269, 140, 138
5 67, 235, 269, 70, 69
67, 47, 269, 14, 69

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 67 x 47 x 269 x 14 x 69 = 32731209840

Least Common Multiple of 268,235,269,560,552 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 268,235,269,560,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,235,269,560,552) = 1

common factors(in case of two or more numbers have common factors) = 160

GCF(268,235,269,560,552) x common factors =1 x 160 = 160

LCM(268,235,269,560,552) = ( 268 × 235 × 269 × 560 × 552 ) / 160

LCM(268,235,269,560,552) = 5236993574400 / 160

LCM(268,235,269,560,552) = 32731209840

∴ Least Common Multiple of 268,235,269,560,552 is 32731209840

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 268, 235, 269, 560, 552

1. What is the LCM of 268, 235, 269, 560, 552?

Answer: LCM of 268, 235, 269, 560, 552 is 32731209840.

2. What are the Factors of 32731209840?

Answer: Factors of 32731209840 are . There are integers that are factors of 32731209840

3. How to Find the LCM of 268, 235, 269, 560, 552 ?

Least Common Multiple of 268, 235, 269, 560, 552.

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(268, 235, 269, 560, 552) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 23 x 47 x 67 x 269 = 32731209840.