Least Common Multiple of 28/54, 40/96, 91/48, 60/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/54, 40/96, 91/48, 60/598 quickly i.e. 5460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/54, 40/96, 91/48, 60/598 is 5460.

LCM(28/54, 40/96, 91/48, 60/598) = 5460

LCM of 28/54, 40/96, 91/48, 60/598

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 28/54,40/96,91/48,60/598

Given numbers are 28/54,40/96,91/48,60/598

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 28,40,91,60

Least Common Multiple of Numerators i.e. LCM of 28,40,91,60 is 10920.

GCF of Denominators means GCF of 54,96,48,598 as per the given fractions.

GCF of 54,96,48,598 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,40,91,60

LCM of Fractions 28/54,40/96,91/48,60/598 is 5460

2 28, 40, 91, 60
2 14, 20, 91, 30
5 7, 10, 91, 15
7 7, 2, 91, 3
1, 2, 13, 3

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 1 x 2 x 13 x 3 = 10920

Least Common Multiple of 28,40,91,60 with GCF Formula

Least Common Multiple of 28,40,91,60 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 28,40,91,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,40,91,60) = 1

common factors(in case of two or more numbers have common factors) = 560

GCF(28,40,91,60) x common factors =1 x 560 = 560

LCM(28,40,91,60) = ( 28 × 40 × 91 × 60 ) / 560

LCM(28,40,91,60) = 6115200 / 560

LCM(28,40,91,60) = 10920


Lets's calculate GCF of 54,96,48,598

2 54, 96, 48, 598
27, 48, 24, 299

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10920/2

Therefore the LCM of Fractions 28/54,40/96,91/48,60/598 is 5460

Greatest Common Factor of 54,96,48,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,96,48,598 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 54,96,48,598 . The biggest common factor number is the GCF number.
So the greatest common factor 54,96,48,598 is 2.


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 28/54, 40/96, 91/48, 60/598

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 28/54, 40/96, 91/48, 60/598?

Answer: LCM of Numerators as per given numbers 28/54, 40/96, 91/48, 60/598 is

LCM of Numerators i.e. for 28,40,91,60 is 10920

GCF of denominators i.e. for 54,96,48,598 is 2.

Thus, LCM of Fractions is 5460.Finally, LCM of Fractions for 28/54, 40/96, 91/48, 60/598 is 5460.