Least Common Multiple of 15, 41, 82, 465

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, 41, 82, 465 i.e. 38130 smallest integer divisible by all numbers.

Least common multiple (LCM) of 15, 41, 82, 465 is 38130.

LCM(15, 41, 82, 465) = 38130

LCM of 15, 41, 82, 465

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

LCM of:

Least Common Multiple of 15,41,82,465

Least Common Multiple (LCM) of 15,41,82,465 is 38130

3 15, 41, 82, 465
5 5, 41, 82, 155
41 1, 41, 82, 31
1, 1, 2, 31

∴ So the LCM of the given numbers is 3 x 5 x 41 x 1 x 1 x 2 x 31 = 38130

Least Common Multiple of 15,41,82,465 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 15,41,82,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,41,82,465) = 1

common factors(in case of two or more numbers have common factors) = 615

GCF(15,41,82,465) x common factors =1 x 615 = 615

LCM(15,41,82,465) = ( 15 × 41 × 82 × 465 ) / 615

LCM(15,41,82,465) = 23449950 / 615

LCM(15,41,82,465) = 38130

∴ Least Common Multiple of 15,41,82,465 is 38130

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 15, 41, 82, 465

1. What is the LCM of 15, 41, 82, 465?

Answer: LCM of 15, 41, 82, 465 is 38130.

2. What are the Factors of 38130?

Answer: Factors of 38130 are . There are integers that are factors of 38130

3. How to Find the LCM of 15, 41, 82, 465 ?

Least Common Multiple of 15, 41, 82, 465.

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, 41, 82, 465) = 2 x 3 x 5 x 31 x 41 = 38130.