Least Common Multiple of 96/95, 97/43, 52/73, 70/839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 96/95, 97/43, 52/73, 70/839 quickly i.e. 4236960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/95, 97/43, 52/73, 70/839 is 4236960.

LCM(96/95, 97/43, 52/73, 70/839) = 4236960

LCM of 96/95, 97/43, 52/73, 70/839

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 96/95,97/43,52/73,70/839

Given numbers are 96/95,97/43,52/73,70/839

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 96,97,52,70

Least Common Multiple of Numerators i.e. LCM of 96,97,52,70 is 4236960.

GCF of Denominators means GCF of 95,43,73,839 as per the given fractions.

GCF of 95,43,73,839 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,97,52,70

LCM of Fractions 96/95,97/43,52/73,70/839 is 4236960

2 96, 97, 52, 70
2 48, 97, 26, 35
24, 97, 13, 35

∴ So the LCM of the given numbers is 2 x 2 x 24 x 97 x 13 x 35 = 4236960

Least Common Multiple of 96,97,52,70 with GCF Formula

Least Common Multiple of 96,97,52,70 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 96,97,52,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,97,52,70) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(96,97,52,70) x common factors =1 x 8 = 8

LCM(96,97,52,70) = ( 96 × 97 × 52 × 70 ) / 8

LCM(96,97,52,70) = 33895680 / 8

LCM(96,97,52,70) = 4236960


Lets's calculate GCF of 95,43,73,839

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4236960/1

Therefore the LCM of Fractions 96/95,97/43,52/73,70/839 is 4236960

Greatest Common Factor of 95,43,73,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,43,73,839 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Greatest Common Factor

We found the factors 95,43,73,839 . The biggest common factor number is the GCF number.
So the greatest common factor 95,43,73,839 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 96/95, 97/43, 52/73, 70/839

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 96/95, 97/43, 52/73, 70/839?

Answer: LCM of Numerators as per given numbers 96/95, 97/43, 52/73, 70/839 is

LCM of Numerators i.e. for 96,97,52,70 is 4236960

GCF of denominators i.e. for 95,43,73,839 is 1.

Thus, LCM of Fractions is 4236960.Finally, LCM of Fractions for 96/95, 97/43, 52/73, 70/839 is 4236960.