Least Common Multiple of 873/537, 147/118, 760/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 873/537, 147/118, 760/498 quickly i.e. 32510520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 873/537, 147/118, 760/498 is 32510520.

LCM(873/537, 147/118, 760/498) = 32510520

LCM of 873/537, 147/118, 760/498

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 873/537,147/118,760/498

Given numbers are 873/537,147/118,760/498

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 873,147,760

Least Common Multiple of Numerators i.e. LCM of 873,147,760 is 32510520.

GCF of Denominators means GCF of 537,118,498 as per the given fractions.

GCF of 537,118,498 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 873,147,760

LCM of Fractions 873/537,147/118,760/498 is 32510520

3 873, 147, 760
291, 49, 760

∴ So the LCM of the given numbers is 3 x 291 x 49 x 760 = 32510520

Least Common Multiple of 873,147,760 with GCF Formula

Least Common Multiple of 873,147,760 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 873,147,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,147,760) = 1

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

GCF(873,147,760) x common factors =1 x 3 = 3

LCM(873,147,760) = ( 873 × 147 × 760 ) / 3

LCM(873,147,760) = 97531560 / 3

LCM(873,147,760) = 32510520


Lets's calculate GCF of 537,118,498

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32510520/1

Therefore the LCM of Fractions 873/537,147/118,760/498 is 32510520

Greatest Common Factor of 537,118,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,118,498 By Matching Biggest Common Factor Method

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 498

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

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

Greatest Common Factor

We found the factors 537,118,498 . The biggest common factor number is the GCF number.
So the greatest common factor 537,118,498 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 873/537, 147/118, 760/498

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 873/537, 147/118, 760/498?

Answer: LCM of Numerators as per given numbers 873/537, 147/118, 760/498 is

LCM of Numerators i.e. for 873,147,760 is 32510520

GCF of denominators i.e. for 537,118,498 is 1.

Thus, LCM of Fractions is 32510520.Finally, LCM of Fractions for 873/537, 147/118, 760/498 is 32510520.