Least Common Multiple of 27/29, 97/49, 54/48, 96/376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/29, 97/49, 54/48, 96/376 quickly i.e. 83808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/29, 97/49, 54/48, 96/376 is 83808.

LCM(27/29, 97/49, 54/48, 96/376) = 83808

LCM of 27/29, 97/49, 54/48, 96/376

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 27/29,97/49,54/48,96/376

Given numbers are 27/29,97/49,54/48,96/376

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 27,97,54,96

Least Common Multiple of Numerators i.e. LCM of 27,97,54,96 is 83808.

GCF of Denominators means GCF of 29,49,48,376 as per the given fractions.

GCF of 29,49,48,376 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,97,54,96

LCM of Fractions 27/29,97/49,54/48,96/376 is 83808

2 27, 97, 54, 96
3 27, 97, 27, 48
3 9, 97, 9, 16
3 3, 97, 3, 16
1, 97, 1, 16

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 97 x 1 x 16 = 83808

Least Common Multiple of 27,97,54,96 with GCF Formula

Least Common Multiple of 27,97,54,96 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 27,97,54,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,97,54,96) = 1

common factors(in case of two or more numbers have common factors) = 162

GCF(27,97,54,96) x common factors =1 x 162 = 162

LCM(27,97,54,96) = ( 27 × 97 × 54 × 96 ) / 162

LCM(27,97,54,96) = 13576896 / 162

LCM(27,97,54,96) = 83808


Lets's calculate GCF of 29,49,48,376

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83808/1

Therefore the LCM of Fractions 27/29,97/49,54/48,96/376 is 83808

Greatest Common Factor of 29,49,48,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,49,48,376 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

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 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 29,49,48,376 . The biggest common factor number is the GCF number.
So the greatest common factor 29,49,48,376 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 27/29, 97/49, 54/48, 96/376

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 27/29, 97/49, 54/48, 96/376?

Answer: LCM of Numerators as per given numbers 27/29, 97/49, 54/48, 96/376 is

LCM of Numerators i.e. for 27,97,54,96 is 83808

GCF of denominators i.e. for 29,49,48,376 is 1.

Thus, LCM of Fractions is 83808.Finally, LCM of Fractions for 27/29, 97/49, 54/48, 96/376 is 83808.