Least Common Multiple of 28/537, 76/295, 520/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/537, 76/295, 520/438 quickly i.e. 69160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/537, 76/295, 520/438 is 69160.

LCM(28/537, 76/295, 520/438) = 69160

LCM of 28/537, 76/295, 520/438

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 28/537,76/295,520/438

Given numbers are 28/537,76/295,520/438

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 28,76,520

Least Common Multiple of Numerators i.e. LCM of 28,76,520 is 69160.

GCF of Denominators means GCF of 537,295,438 as per the given fractions.

GCF of 537,295,438 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,76,520

LCM of Fractions 28/537,76/295,520/438 is 69160

2 28, 76, 520
2 14, 38, 260
7, 19, 130

∴ So the LCM of the given numbers is 2 x 2 x 7 x 19 x 130 = 69160

Least Common Multiple of 28,76,520 with GCF Formula

Least Common Multiple of 28,76,520 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 28,76,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,76,520) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(28,76,520) x common factors =4 x 4 = 16

LCM(28,76,520) = ( 28 × 76 × 520 ) / 16

LCM(28,76,520) = 1106560 / 16

LCM(28,76,520) = 69160


Lets's calculate GCF of 537,295,438

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69160/1

Therefore the LCM of Fractions 28/537,76/295,520/438 is 69160

Greatest Common Factor of 537,295,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,295,438 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 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 537,295,438 . The biggest common factor number is the GCF number.
So the greatest common factor 537,295,438 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 28/537, 76/295, 520/438

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 28/537, 76/295, 520/438?

Answer: LCM of Numerators as per given numbers 28/537, 76/295, 520/438 is

LCM of Numerators i.e. for 28,76,520 is 69160

GCF of denominators i.e. for 537,295,438 is 1.

Thus, LCM of Fractions is 69160.Finally, LCM of Fractions for 28/537, 76/295, 520/438 is 69160.