Least Common Multiple of 450, 572, 972, 432, 582

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 450, 572, 972, 432, 582 i.e. 1348261200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 450, 572, 972, 432, 582 is 1348261200.

LCM(450, 572, 972, 432, 582) = 1348261200

LCM of 450, 572, 972, 432, 582

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

LCM of:

Least Common Multiple of 450,572,972,432,582

Least Common Multiple (LCM) of 450,572,972,432,582 is 1348261200

2 450, 572, 972, 432, 582
2 225, 286, 486, 216, 291
3 225, 143, 243, 108, 291
3 75, 143, 81, 36, 97
3 25, 143, 27, 12, 97
25, 143, 9, 4, 97

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 25 x 143 x 9 x 4 x 97 = 1348261200

Least Common Multiple of 450,572,972,432,582 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 450,572,972,432,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,572,972,432,582) = 2

common factors(in case of two or more numbers have common factors) = 23328

GCF(450,572,972,432,582) x common factors =2 x 23328 = 46656

LCM(450,572,972,432,582) = ( 450 × 572 × 972 × 432 × 582 ) / 46656

LCM(450,572,972,432,582) = 62904474547200 / 46656

LCM(450,572,972,432,582) = 1348261200

∴ Least Common Multiple of 450,572,972,432,582 is 1348261200

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 450, 572, 972, 432, 582

1. What is the LCM of 450, 572, 972, 432, 582?

Answer: LCM of 450, 572, 972, 432, 582 is 1348261200.

2. What are the Factors of 1348261200?

Answer: Factors of 1348261200 are . There are integers that are factors of 1348261200

3. How to Find the LCM of 450, 572, 972, 432, 582 ?

Least Common Multiple of 450, 572, 972, 432, 582.

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(450, 572, 972, 432, 582) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 11 x 13 x 97 = 1348261200.