Least Common Multiple of 15, 92, 85, 30

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, 92, 85, 30 i.e. 23460 smallest integer divisible by all numbers.

Least common multiple (LCM) of 15, 92, 85, 30 is 23460.

LCM(15, 92, 85, 30) = 23460

LCM of 15, 92, 85, 30

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

LCM of:

Least Common Multiple of 15,92,85,30

Least Common Multiple (LCM) of 15,92,85,30 is 23460

2 15, 92, 85, 30
3 15, 46, 85, 15
5 5, 46, 85, 5
1, 46, 17, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 46 x 17 x 1 = 23460

Least Common Multiple of 15,92,85,30 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 15,92,85,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,92,85,30) = 1

common factors(in case of two or more numbers have common factors) = 150

GCF(15,92,85,30) x common factors =1 x 150 = 150

LCM(15,92,85,30) = ( 15 × 92 × 85 × 30 ) / 150

LCM(15,92,85,30) = 3519000 / 150

LCM(15,92,85,30) = 23460

∴ Least Common Multiple of 15,92,85,30 is 23460

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 15, 92, 85, 30

1. What is the LCM of 15, 92, 85, 30?

Answer: LCM of 15, 92, 85, 30 is 23460.

2. What are the Factors of 23460?

Answer: Factors of 23460 are . There are integers that are factors of 23460

3. How to Find the LCM of 15, 92, 85, 30 ?

Least Common Multiple of 15, 92, 85, 30.

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, 92, 85, 30) = 2 x 2 x 3 x 5 x 17 x 23 = 23460.