Least Common Multiple of 45, 90, 57, 451

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 45, 90, 57, 451 i.e. 771210 smallest integer divisible by all numbers.

Least common multiple (LCM) of 45, 90, 57, 451 is 771210.

LCM(45, 90, 57, 451) = 771210

LCM of 45, 90, 57, 451

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

LCM of:

Least Common Multiple of 45,90,57,451

Least Common Multiple (LCM) of 45,90,57,451 is 771210

3 45, 90, 57, 451
3 15, 30, 19, 451
5 5, 10, 19, 451
1, 2, 19, 451

∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 2 x 19 x 451 = 771210

Least Common Multiple of 45,90,57,451 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 45,90,57,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,90,57,451) = 1

common factors(in case of two or more numbers have common factors) = 135

GCF(45,90,57,451) x common factors =1 x 135 = 135

LCM(45,90,57,451) = ( 45 × 90 × 57 × 451 ) / 135

LCM(45,90,57,451) = 104113350 / 135

LCM(45,90,57,451) = 771210

∴ Least Common Multiple of 45,90,57,451 is 771210

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 45, 90, 57, 451

1. What is the LCM of 45, 90, 57, 451?

Answer: LCM of 45, 90, 57, 451 is 771210.

2. What are the Factors of 771210?

Answer: Factors of 771210 are . There are integers that are factors of 771210

3. How to Find the LCM of 45, 90, 57, 451 ?

Least Common Multiple of 45, 90, 57, 451.

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(45, 90, 57, 451) = 2 x 3 x 3 x 5 x 11 x 19 x 41 = 771210.