Least Common Multiple of 27/498, 97/545, 220/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/498, 97/545, 220/534 quickly i.e. 576180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/498, 97/545, 220/534 is 576180.

LCM(27/498, 97/545, 220/534) = 576180

LCM of 27/498, 97/545, 220/534

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 27/498,97/545,220/534

Given numbers are 27/498,97/545,220/534

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 27,97,220

Least Common Multiple of Numerators i.e. LCM of 27,97,220 is 576180.

GCF of Denominators means GCF of 498,545,534 as per the given fractions.

GCF of 498,545,534 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,97,220

LCM of Fractions 27/498,97/545,220/534 is 576180

Given numbers has no common factors except 1. So, there LCM is their product i.e 576180

Least Common Multiple of 27,97,220 with GCF Formula

Least Common Multiple of 27,97,220 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 27,97,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,97,220) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(27,97,220) x common factors =1 x 1 = 1

LCM(27,97,220) = ( 27 × 97 × 220 ) / 1

LCM(27,97,220) = 576180 / 1

LCM(27,97,220) = 576180


Lets's calculate GCF of 498,545,534

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 576180/1

Therefore the LCM of Fractions 27/498,97/545,220/534 is 576180

Greatest Common Factor of 498,545,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,545,534 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 498,545,534 . The biggest common factor number is the GCF number.
So the greatest common factor 498,545,534 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 27/498, 97/545, 220/534

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 27/498, 97/545, 220/534?

Answer: LCM of Numerators as per given numbers 27/498, 97/545, 220/534 is

LCM of Numerators i.e. for 27,97,220 is 576180

GCF of denominators i.e. for 498,545,534 is 1.

Thus, LCM of Fractions is 576180.Finally, LCM of Fractions for 27/498, 97/545, 220/534 is 576180.