Least Common Multiple of 56, 68, 31, 38, 266

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 56, 68, 31, 38, 266 i.e. 560728 smallest integer divisible by all numbers.

Least common multiple (LCM) of 56, 68, 31, 38, 266 is 560728.

LCM(56, 68, 31, 38, 266) = 560728

LCM of 56, 68, 31, 38, 266

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

LCM of:

Least Common Multiple of 56,68,31,38,266

Least Common Multiple (LCM) of 56,68,31,38,266 is 560728

2 56, 68, 31, 38, 266
2 28, 34, 31, 19, 133
7 14, 17, 31, 19, 133
19 2, 17, 31, 19, 19
2, 17, 31, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 7 x 19 x 2 x 17 x 31 x 1 x 1 = 560728

Least Common Multiple of 56,68,31,38,266 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 56,68,31,38,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,68,31,38,266) = 1

common factors(in case of two or more numbers have common factors) = 2128

GCF(56,68,31,38,266) x common factors =1 x 2128 = 2128

LCM(56,68,31,38,266) = ( 56 × 68 × 31 × 38 × 266 ) / 2128

LCM(56,68,31,38,266) = 1193229184 / 2128

LCM(56,68,31,38,266) = 560728

∴ Least Common Multiple of 56,68,31,38,266 is 560728

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 56, 68, 31, 38, 266

1. What is the LCM of 56, 68, 31, 38, 266?

Answer: LCM of 56, 68, 31, 38, 266 is 560728.

2. What are the Factors of 560728?

Answer: Factors of 560728 are . There are integers that are factors of 560728

3. How to Find the LCM of 56, 68, 31, 38, 266 ?

Least Common Multiple of 56, 68, 31, 38, 266.

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(56, 68, 31, 38, 266) = 2 x 2 x 2 x 7 x 17 x 19 x 31 = 560728.