Least Common Multiple of 39, 15, 549

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 39, 15, 549 i.e. 35685 smallest integer divisible by all numbers.

Least common multiple (LCM) of 39, 15, 549 is 35685.

LCM(39, 15, 549) = 35685

LCM of 39, 15, 549

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

LCM of:

Least Common Multiple of 39,15,549

Least Common Multiple (LCM) of 39,15,549 is 35685

3 39, 15, 549
13, 5, 183

∴ So the LCM of the given numbers is 3 x 13 x 5 x 183 = 35685

Least Common Multiple of 39,15,549 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 39,15,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,15,549) = 3

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

GCF(39,15,549) x common factors =3 x 3 = 9

LCM(39,15,549) = ( 39 × 15 × 549 ) / 9

LCM(39,15,549) = 321165 / 9

LCM(39,15,549) = 35685

∴ Least Common Multiple of 39,15,549 is 35685

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 39, 15, 549

1. What is the LCM of 39, 15, 549?

Answer: LCM of 39, 15, 549 is 35685.

2. What are the Factors of 35685?

Answer: Factors of 35685 are . There are integers that are factors of 35685

3. How to Find the LCM of 39, 15, 549 ?

Least Common Multiple of 39, 15, 549.

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(39, 15, 549) = 3 x 3 x 5 x 13 x 61 = 35685.