Least Common Multiple of 305, 138, 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 305, 138, 915 i.e. 42090 smallest integer divisible by all numbers.

Least common multiple (LCM) of 305, 138, 915 is 42090.

LCM(305, 138, 915) = 42090

LCM of 305, 138, 915

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

LCM of:

Least Common Multiple of 305,138,915

Least Common Multiple (LCM) of 305,138,915 is 42090

3 305, 138, 915
5 305, 46, 305
61 61, 46, 61
1, 46, 1

∴ So the LCM of the given numbers is 3 x 5 x 61 x 1 x 46 x 1 = 42090

Least Common Multiple of 305,138,915 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 305,138,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,138,915) = 1

common factors(in case of two or more numbers have common factors) = 915

GCF(305,138,915) x common factors =1 x 915 = 915

LCM(305,138,915) = ( 305 × 138 × 915 ) / 915

LCM(305,138,915) = 38512350 / 915

LCM(305,138,915) = 42090

∴ Least Common Multiple of 305,138,915 is 42090

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 305, 138, 915

1. What is the LCM of 305, 138, 915?

Answer: LCM of 305, 138, 915 is 42090.

2. What are the Factors of 42090?

Answer: Factors of 42090 are . There are integers that are factors of 42090

3. How to Find the LCM of 305, 138, 915 ?

Least Common Multiple of 305, 138, 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(305, 138, 915) = 2 x 3 x 5 x 23 x 61 = 42090.