Least Common Multiple of 764/79, 524/96, 956/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 764/79, 524/96, 956/14 quickly i.e. 23920076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 764/79, 524/96, 956/14 is 23920076.

LCM(764/79, 524/96, 956/14) = 23920076

LCM of 764/79, 524/96, 956/14

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 764/79,524/96,956/14

Given numbers are 764/79,524/96,956/14

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 764,524,956

Least Common Multiple of Numerators i.e. LCM of 764,524,956 is 23920076.

GCF of Denominators means GCF of 79,96,14 as per the given fractions.

GCF of 79,96,14 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 764,524,956

LCM of Fractions 764/79,524/96,956/14 is 23920076

2 764, 524, 956
2 382, 262, 478
191, 131, 239

∴ So the LCM of the given numbers is 2 x 2 x 191 x 131 x 239 = 23920076

Least Common Multiple of 764,524,956 with GCF Formula

Least Common Multiple of 764,524,956 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 764,524,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,524,956) = 4

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

GCF(764,524,956) x common factors =4 x 4 = 16

LCM(764,524,956) = ( 764 × 524 × 956 ) / 16

LCM(764,524,956) = 382721216 / 16

LCM(764,524,956) = 23920076


Lets's calculate GCF of 79,96,14

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23920076/1

Therefore the LCM of Fractions 764/79,524/96,956/14 is 23920076

Greatest Common Factor of 79,96,14 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,96,14 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Greatest Common Factor

We found the factors 79,96,14 . The biggest common factor number is the GCF number.
So the greatest common factor 79,96,14 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 764/79, 524/96, 956/14

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 764/79, 524/96, 956/14?

Answer: LCM of Numerators as per given numbers 764/79, 524/96, 956/14 is

LCM of Numerators i.e. for 764,524,956 is 23920076

GCF of denominators i.e. for 79,96,14 is 1.

Thus, LCM of Fractions is 23920076.Finally, LCM of Fractions for 764/79, 524/96, 956/14 is 23920076.