Least Common Multiple of 91/89, 98/88, 96/47, 52/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 91/89, 98/88, 96/47, 52/755 quickly i.e. 61152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/89, 98/88, 96/47, 52/755 is 61152.

LCM(91/89, 98/88, 96/47, 52/755) = 61152

LCM of 91/89, 98/88, 96/47, 52/755

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 91/89,98/88,96/47,52/755

Given numbers are 91/89,98/88,96/47,52/755

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 91,98,96,52

Least Common Multiple of Numerators i.e. LCM of 91,98,96,52 is 61152.

GCF of Denominators means GCF of 89,88,47,755 as per the given fractions.

GCF of 89,88,47,755 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,98,96,52

LCM of Fractions 91/89,98/88,96/47,52/755 is 61152

2 91, 98, 96, 52
2 91, 49, 48, 26
7 91, 49, 24, 13
13 13, 7, 24, 13
1, 7, 24, 1

∴ So the LCM of the given numbers is 2 x 2 x 7 x 13 x 1 x 7 x 24 x 1 = 61152

Least Common Multiple of 91,98,96,52 with GCF Formula

Least Common Multiple of 91,98,96,52 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 91,98,96,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,98,96,52) = 1

common factors(in case of two or more numbers have common factors) = 728

GCF(91,98,96,52) x common factors =1 x 728 = 728

LCM(91,98,96,52) = ( 91 × 98 × 96 × 52 ) / 728

LCM(91,98,96,52) = 44518656 / 728

LCM(91,98,96,52) = 61152


Lets's calculate GCF of 89,88,47,755

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61152/1

Therefore the LCM of Fractions 91/89,98/88,96/47,52/755 is 61152

Greatest Common Factor of 89,88,47,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,88,47,755 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 89,88,47,755 . The biggest common factor number is the GCF number.
So the greatest common factor 89,88,47,755 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 91/89, 98/88, 96/47, 52/755

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 91/89, 98/88, 96/47, 52/755?

Answer: LCM of Numerators as per given numbers 91/89, 98/88, 96/47, 52/755 is

LCM of Numerators i.e. for 91,98,96,52 is 61152

GCF of denominators i.e. for 89,88,47,755 is 1.

Thus, LCM of Fractions is 61152.Finally, LCM of Fractions for 91/89, 98/88, 96/47, 52/755 is 61152.