Least Common Multiple of 59/78, 532/70, 968/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 59/78, 532/70, 968/751 quickly i.e. 7595896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/78, 532/70, 968/751 is 7595896.

LCM(59/78, 532/70, 968/751) = 7595896

LCM of 59/78, 532/70, 968/751

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 59/78,532/70,968/751

Given numbers are 59/78,532/70,968/751

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 59,532,968

Least Common Multiple of Numerators i.e. LCM of 59,532,968 is 7595896.

GCF of Denominators means GCF of 78,70,751 as per the given fractions.

GCF of 78,70,751 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,532,968

LCM of Fractions 59/78,532/70,968/751 is 7595896

2 59, 532, 968
2 59, 266, 484
59, 133, 242

∴ So the LCM of the given numbers is 2 x 2 x 59 x 133 x 242 = 7595896

Least Common Multiple of 59,532,968 with GCF Formula

Least Common Multiple of 59,532,968 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 59,532,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,532,968) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(59,532,968) x common factors =1 x 4 = 4

LCM(59,532,968) = ( 59 × 532 × 968 ) / 4

LCM(59,532,968) = 30383584 / 4

LCM(59,532,968) = 7595896


Lets's calculate GCF of 78,70,751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7595896/1

Therefore the LCM of Fractions 59/78,532/70,968/751 is 7595896

Greatest Common Factor of 78,70,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,70,751 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Greatest Common Factor

We found the factors 78,70,751 . The biggest common factor number is the GCF number.
So the greatest common factor 78,70,751 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 59/78, 532/70, 968/751

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 59/78, 532/70, 968/751?

Answer: LCM of Numerators as per given numbers 59/78, 532/70, 968/751 is

LCM of Numerators i.e. for 59,532,968 is 7595896

GCF of denominators i.e. for 78,70,751 is 1.

Thus, LCM of Fractions is 7595896.Finally, LCM of Fractions for 59/78, 532/70, 968/751 is 7595896.