Least Common Multiple of 560, 454, 570, 310, 442

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 560, 454, 570, 310, 442 i.e. 49641249840 smallest integer divisible by all numbers.

Least common multiple (LCM) of 560, 454, 570, 310, 442 is 49641249840.

LCM(560, 454, 570, 310, 442) = 49641249840

LCM of 560, 454, 570, 310, 442

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

LCM of:

Least Common Multiple of 560,454,570,310,442

Least Common Multiple (LCM) of 560,454,570,310,442 is 49641249840

2 560, 454, 570, 310, 442
5 280, 227, 285, 155, 221
56, 227, 57, 31, 221

∴ So the LCM of the given numbers is 2 x 5 x 56 x 227 x 57 x 31 x 221 = 49641249840

Least Common Multiple of 560,454,570,310,442 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 560,454,570,310,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,454,570,310,442) = 2

common factors(in case of two or more numbers have common factors) = 200

GCF(560,454,570,310,442) x common factors =2 x 200 = 400

LCM(560,454,570,310,442) = ( 560 × 454 × 570 × 310 × 442 ) / 400

LCM(560,454,570,310,442) = 19856499936000 / 400

LCM(560,454,570,310,442) = 49641249840

∴ Least Common Multiple of 560,454,570,310,442 is 49641249840

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 560, 454, 570, 310, 442

1. What is the LCM of 560, 454, 570, 310, 442?

Answer: LCM of 560, 454, 570, 310, 442 is 49641249840.

2. What are the Factors of 49641249840?

Answer: Factors of 49641249840 are . There are integers that are factors of 49641249840

3. How to Find the LCM of 560, 454, 570, 310, 442 ?

Least Common Multiple of 560, 454, 570, 310, 442.

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(560, 454, 570, 310, 442) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 17 x 19 x 31 x 227 = 49641249840.