Least Common Multiple of 27, 75, 75, 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 27, 75, 75, 549 i.e. 41175 smallest integer divisible by all numbers.

Least common multiple (LCM) of 27, 75, 75, 549 is 41175.

LCM(27, 75, 75, 549) = 41175

LCM of 27, 75, 75, 549

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

LCM of:

Least Common Multiple of 27,75,75,549

Least Common Multiple (LCM) of 27,75,75,549 is 41175

3 27, 75, 75, 549
3 9, 25, 25, 183
5 3, 25, 25, 61
5 3, 5, 5, 61
3, 1, 1, 61

∴ So the LCM of the given numbers is 3 x 3 x 5 x 5 x 3 x 1 x 1 x 61 = 41175

Least Common Multiple of 27,75,75,549 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 27,75,75,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,75,75,549) = 3

common factors(in case of two or more numbers have common factors) = 675

GCF(27,75,75,549) x common factors =3 x 675 = 2025

LCM(27,75,75,549) = ( 27 × 75 × 75 × 549 ) / 2025

LCM(27,75,75,549) = 83379375 / 2025

LCM(27,75,75,549) = 41175

∴ Least Common Multiple of 27,75,75,549 is 41175

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 27, 75, 75, 549

1. What is the LCM of 27, 75, 75, 549?

Answer: LCM of 27, 75, 75, 549 is 41175.

2. What are the Factors of 41175?

Answer: Factors of 41175 are . There are integers that are factors of 41175

3. How to Find the LCM of 27, 75, 75, 549 ?

Least Common Multiple of 27, 75, 75, 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(27, 75, 75, 549) = 3 x 3 x 3 x 5 x 5 x 61 = 41175.