Least Common Multiple of 28/508, 75/735, 264/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/508, 75/735, 264/135 quickly i.e. 46200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/508, 75/735, 264/135 is 46200.

LCM(28/508, 75/735, 264/135) = 46200

LCM of 28/508, 75/735, 264/135

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 28/508,75/735,264/135

Given numbers are 28/508,75/735,264/135

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 28,75,264

Least Common Multiple of Numerators i.e. LCM of 28,75,264 is 46200.

GCF of Denominators means GCF of 508,735,135 as per the given fractions.

GCF of 508,735,135 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,75,264

LCM of Fractions 28/508,75/735,264/135 is 46200

2 28, 75, 264
2 14, 75, 132
3 7, 75, 66
7, 25, 22

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 25 x 22 = 46200

Least Common Multiple of 28,75,264 with GCF Formula

Least Common Multiple of 28,75,264 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 28,75,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,75,264) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(28,75,264) x common factors =1 x 12 = 12

LCM(28,75,264) = ( 28 × 75 × 264 ) / 12

LCM(28,75,264) = 554400 / 12

LCM(28,75,264) = 46200


Lets's calculate GCF of 508,735,135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46200/1

Therefore the LCM of Fractions 28/508,75/735,264/135 is 46200

Greatest Common Factor of 508,735,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 508,735,135 By Matching Biggest Common Factor Method

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 508,735,135 . The biggest common factor number is the GCF number.
So the greatest common factor 508,735,135 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 28/508, 75/735, 264/135

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 28/508, 75/735, 264/135?

Answer: LCM of Numerators as per given numbers 28/508, 75/735, 264/135 is

LCM of Numerators i.e. for 28,75,264 is 46200

GCF of denominators i.e. for 508,735,135 is 1.

Thus, LCM of Fractions is 46200.Finally, LCM of Fractions for 28/508, 75/735, 264/135 is 46200.