Least Common Multiple of 15, 39, 542

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, 39, 542 i.e. 105690 smallest integer divisible by all numbers.

Least common multiple (LCM) of 15, 39, 542 is 105690.

LCM(15, 39, 542) = 105690

LCM of 15, 39, 542

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

LCM of:

Least Common Multiple of 15,39,542

Least Common Multiple (LCM) of 15,39,542 is 105690

3 15, 39, 542
5, 13, 542

∴ So the LCM of the given numbers is 3 x 5 x 13 x 542 = 105690

Least Common Multiple of 15,39,542 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 15,39,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,39,542) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(15,39,542) x common factors =1 x 3 = 3

LCM(15,39,542) = ( 15 × 39 × 542 ) / 3

LCM(15,39,542) = 317070 / 3

LCM(15,39,542) = 105690

∴ Least Common Multiple of 15,39,542 is 105690

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, 39, 542

1. What is the LCM of 15, 39, 542?

Answer: LCM of 15, 39, 542 is 105690.

2. What are the Factors of 105690?

Answer: Factors of 105690 are . There are integers that are factors of 105690

3. How to Find the LCM of 15, 39, 542 ?

Least Common Multiple of 15, 39, 542.

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, 39, 542) = 2 x 3 x 5 x 13 x 271 = 105690.