Least Common Multiple of 90, 51, 45, 516

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 90, 51, 45, 516 i.e. 131580 smallest integer divisible by all numbers.

Least common multiple (LCM) of 90, 51, 45, 516 is 131580.

LCM(90, 51, 45, 516) = 131580

LCM of 90, 51, 45, 516

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

LCM of:

Least Common Multiple of 90,51,45,516

Least Common Multiple (LCM) of 90,51,45,516 is 131580

2 90, 51, 45, 516
3 45, 51, 45, 258
3 15, 17, 15, 86
5 5, 17, 5, 86
1, 17, 1, 86

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 17 x 1 x 86 = 131580

Least Common Multiple of 90,51,45,516 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 90,51,45,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,51,45,516) = 3

common factors(in case of two or more numbers have common factors) = 270

GCF(90,51,45,516) x common factors =3 x 270 = 810

LCM(90,51,45,516) = ( 90 × 51 × 45 × 516 ) / 810

LCM(90,51,45,516) = 106579800 / 810

LCM(90,51,45,516) = 131580

∴ Least Common Multiple of 90,51,45,516 is 131580

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 90, 51, 45, 516

1. What is the LCM of 90, 51, 45, 516?

Answer: LCM of 90, 51, 45, 516 is 131580.

2. What are the Factors of 131580?

Answer: Factors of 131580 are . There are integers that are factors of 131580

3. How to Find the LCM of 90, 51, 45, 516 ?

Least Common Multiple of 90, 51, 45, 516.

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(90, 51, 45, 516) = 2 x 2 x 3 x 3 x 5 x 17 x 43 = 131580.