Least Common Multiple of 45, 30, 36, 915

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, 30, 36, 915 i.e. 10980 smallest integer divisible by all numbers.

Least common multiple (LCM) of 45, 30, 36, 915 is 10980.

LCM(45, 30, 36, 915) = 10980

LCM of 45, 30, 36, 915

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

LCM of:

Least Common Multiple of 45,30,36,915

Least Common Multiple (LCM) of 45,30,36,915 is 10980

2 45, 30, 36, 915
3 45, 15, 18, 915
3 5, 15, 6, 305
5 5, 5, 2, 305
1, 1, 2, 61

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 2 x 61 = 10980

Least Common Multiple of 45,30,36,915 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 45,30,36,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,30,36,915) = 3

common factors(in case of two or more numbers have common factors) = 1350

GCF(45,30,36,915) x common factors =3 x 1350 = 4050

LCM(45,30,36,915) = ( 45 × 30 × 36 × 915 ) / 4050

LCM(45,30,36,915) = 44469000 / 4050

LCM(45,30,36,915) = 10980

∴ Least Common Multiple of 45,30,36,915 is 10980

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 45, 30, 36, 915

1. What is the LCM of 45, 30, 36, 915?

Answer: LCM of 45, 30, 36, 915 is 10980.

2. What are the Factors of 10980?

Answer: Factors of 10980 are . There are integers that are factors of 10980

3. How to Find the LCM of 45, 30, 36, 915 ?

Least Common Multiple of 45, 30, 36, 915.

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, 30, 36, 915) = 2 x 2 x 3 x 3 x 5 x 61 = 10980.