Least Common Multiple of 15, 90, 54, 558

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 15, 90, 54, 558 i.e. 8370 smallest integer divisible by all numbers.

Least common multiple (LCM) of 15, 90, 54, 558 is 8370.

LCM(15, 90, 54, 558) = 8370

LCM of 15, 90, 54, 558

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

LCM of:

Least Common Multiple of 15,90,54,558

Least Common Multiple (LCM) of 15,90,54,558 is 8370

2 15, 90, 54, 558
3 15, 45, 27, 279
3 5, 15, 9, 93
5 5, 5, 3, 31
1, 1, 3, 31

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 3 x 31 = 8370

Least Common Multiple of 15,90,54,558 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 15,90,54,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,90,54,558) = 3

common factors(in case of two or more numbers have common factors) = 1620

GCF(15,90,54,558) x common factors =3 x 1620 = 4860

LCM(15,90,54,558) = ( 15 × 90 × 54 × 558 ) / 4860

LCM(15,90,54,558) = 40678200 / 4860

LCM(15,90,54,558) = 8370

∴ Least Common Multiple of 15,90,54,558 is 8370

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 15, 90, 54, 558

1. What is the LCM of 15, 90, 54, 558?

Answer: LCM of 15, 90, 54, 558 is 8370.

2. What are the Factors of 8370?

Answer: Factors of 8370 are . There are integers that are factors of 8370

3. How to Find the LCM of 15, 90, 54, 558 ?

Least Common Multiple of 15, 90, 54, 558.

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(15, 90, 54, 558) = 2 x 3 x 3 x 3 x 5 x 31 = 8370.