Least Common Multiple of 240, 458, 604, 560, 317

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 240, 458, 604, 560, 317 i.e. 18415392240 smallest integer divisible by all numbers.

Least common multiple (LCM) of 240, 458, 604, 560, 317 is 18415392240.

LCM(240, 458, 604, 560, 317) = 18415392240

LCM of 240, 458, 604, 560, 317

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

LCM of:

Least Common Multiple of 240,458,604,560,317

Least Common Multiple (LCM) of 240,458,604,560,317 is 18415392240

2 240, 458, 604, 560, 317
2 120, 229, 302, 280, 317
2 60, 229, 151, 140, 317
2 30, 229, 151, 70, 317
5 15, 229, 151, 35, 317
3, 229, 151, 7, 317

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 3 x 229 x 151 x 7 x 317 = 18415392240

Least Common Multiple of 240,458,604,560,317 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 240,458,604,560,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,458,604,560,317) = 1

common factors(in case of two or more numbers have common factors) = 640

GCF(240,458,604,560,317) x common factors =1 x 640 = 640

LCM(240,458,604,560,317) = ( 240 × 458 × 604 × 560 × 317 ) / 640

LCM(240,458,604,560,317) = 11785851033600 / 640

LCM(240,458,604,560,317) = 18415392240

∴ Least Common Multiple of 240,458,604,560,317 is 18415392240

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 240, 458, 604, 560, 317

1. What is the LCM of 240, 458, 604, 560, 317?

Answer: LCM of 240, 458, 604, 560, 317 is 18415392240.

2. What are the Factors of 18415392240?

Answer: Factors of 18415392240 are . There are integers that are factors of 18415392240

3. How to Find the LCM of 240, 458, 604, 560, 317 ?

Least Common Multiple of 240, 458, 604, 560, 317.

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(240, 458, 604, 560, 317) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 151 x 229 x 317 = 18415392240.