Least Common Multiple of 15, 408, 238

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, 408, 238 i.e. 14280 smallest integer divisible by all numbers.

Least common multiple (LCM) of 15, 408, 238 is 14280.

LCM(15, 408, 238) = 14280

LCM of 15, 408, 238

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

LCM of:

Least Common Multiple of 15,408,238

Least Common Multiple (LCM) of 15,408,238 is 14280

2 15, 408, 238
3 15, 204, 119
17 5, 68, 119
5, 4, 7

∴ So the LCM of the given numbers is 2 x 3 x 17 x 5 x 4 x 7 = 14280

Least Common Multiple of 15,408,238 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 15,408,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,408,238) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(15,408,238) x common factors =1 x 102 = 102

LCM(15,408,238) = ( 15 × 408 × 238 ) / 102

LCM(15,408,238) = 1456560 / 102

LCM(15,408,238) = 14280

∴ Least Common Multiple of 15,408,238 is 14280

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, 408, 238

1. What is the LCM of 15, 408, 238?

Answer: LCM of 15, 408, 238 is 14280.

2. What are the Factors of 14280?

Answer: Factors of 14280 are . There are integers that are factors of 14280

3. How to Find the LCM of 15, 408, 238 ?

Least Common Multiple of 15, 408, 238.

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, 408, 238) = 2 x 2 x 2 x 3 x 5 x 7 x 17 = 14280.