Least Common Multiple of 468, 458, 351, 617, 538

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 468, 458, 351, 617, 538 i.e. 53362975068 smallest integer divisible by all numbers.

Least common multiple (LCM) of 468, 458, 351, 617, 538 is 53362975068.

LCM(468, 458, 351, 617, 538) = 53362975068

LCM of 468, 458, 351, 617, 538

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

LCM of:

Least Common Multiple of 468,458,351,617,538

Least Common Multiple (LCM) of 468,458,351,617,538 is 53362975068

2 468, 458, 351, 617, 538
3 234, 229, 351, 617, 269
3 78, 229, 117, 617, 269
13 26, 229, 39, 617, 269
2, 229, 3, 617, 269

∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 2 x 229 x 3 x 617 x 269 = 53362975068

Least Common Multiple of 468,458,351,617,538 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 468,458,351,617,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,458,351,617,538) = 1

common factors(in case of two or more numbers have common factors) = 468

GCF(468,458,351,617,538) x common factors =1 x 468 = 468

LCM(468,458,351,617,538) = ( 468 × 458 × 351 × 617 × 538 ) / 468

LCM(468,458,351,617,538) = 24973872331824 / 468

LCM(468,458,351,617,538) = 53362975068

∴ Least Common Multiple of 468,458,351,617,538 is 53362975068

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 468, 458, 351, 617, 538

1. What is the LCM of 468, 458, 351, 617, 538?

Answer: LCM of 468, 458, 351, 617, 538 is 53362975068.

2. What are the Factors of 53362975068?

Answer: Factors of 53362975068 are . There are integers that are factors of 53362975068

3. How to Find the LCM of 468, 458, 351, 617, 538 ?

Least Common Multiple of 468, 458, 351, 617, 538.

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(468, 458, 351, 617, 538) = 2 x 2 x 3 x 3 x 3 x 13 x 229 x 269 x 617 = 53362975068.