Least Common Multiple of 91/45, 96/54, 31/74, 28/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/45, 96/54, 31/74, 28/199 quickly i.e. 270816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/45, 96/54, 31/74, 28/199 is 270816.

LCM(91/45, 96/54, 31/74, 28/199) = 270816

LCM of 91/45, 96/54, 31/74, 28/199

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 91/45,96/54,31/74,28/199

Given numbers are 91/45,96/54,31/74,28/199

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 91,96,31,28

Least Common Multiple of Numerators i.e. LCM of 91,96,31,28 is 270816.

GCF of Denominators means GCF of 45,54,74,199 as per the given fractions.

GCF of 45,54,74,199 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,96,31,28

LCM of Fractions 91/45,96/54,31/74,28/199 is 270816

2 91, 96, 31, 28
2 91, 48, 31, 14
7 91, 24, 31, 7
13, 24, 31, 1

∴ So the LCM of the given numbers is 2 x 2 x 7 x 13 x 24 x 31 x 1 = 270816

Least Common Multiple of 91,96,31,28 with GCF Formula

Least Common Multiple of 91,96,31,28 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 91,96,31,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,96,31,28) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(91,96,31,28) x common factors =1 x 28 = 28

LCM(91,96,31,28) = ( 91 × 96 × 31 × 28 ) / 28

LCM(91,96,31,28) = 7582848 / 28

LCM(91,96,31,28) = 270816


Lets's calculate GCF of 45,54,74,199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270816/1

Therefore the LCM of Fractions 91/45,96/54,31/74,28/199 is 270816

Greatest Common Factor of 45,54,74,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,54,74,199 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

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 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Greatest Common Factor

We found the factors 45,54,74,199 . The biggest common factor number is the GCF number.
So the greatest common factor 45,54,74,199 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 91/45, 96/54, 31/74, 28/199

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 91/45, 96/54, 31/74, 28/199?

Answer: LCM of Numerators as per given numbers 91/45, 96/54, 31/74, 28/199 is

LCM of Numerators i.e. for 91,96,31,28 is 270816

GCF of denominators i.e. for 45,54,74,199 is 1.

Thus, LCM of Fractions is 270816.Finally, LCM of Fractions for 91/45, 96/54, 31/74, 28/199 is 270816.