Least Common Multiple of 96/62, 257/28, 713/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 96/62, 257/28, 713/336 quickly i.e. 8795568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/62, 257/28, 713/336 is 8795568.

LCM(96/62, 257/28, 713/336) = 8795568

LCM of 96/62, 257/28, 713/336

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 96/62,257/28,713/336

Given numbers are 96/62,257/28,713/336

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 96,257,713

Least Common Multiple of Numerators i.e. LCM of 96,257,713 is 17591136.

GCF of Denominators means GCF of 62,28,336 as per the given fractions.

GCF of 62,28,336 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,257,713

LCM of Fractions 96/62,257/28,713/336 is 8795568

Given numbers has no common factors except 1. So, there LCM is their product i.e 17591136

Least Common Multiple of 96,257,713 with GCF Formula

Least Common Multiple of 96,257,713 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 96,257,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,257,713) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(96,257,713) x common factors =1 x 1 = 1

LCM(96,257,713) = ( 96 × 257 × 713 ) / 1

LCM(96,257,713) = 17591136 / 1

LCM(96,257,713) = 17591136


Lets's calculate GCF of 62,28,336

2 62, 28, 336
31, 14, 168

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17591136/2

Therefore the LCM of Fractions 96/62,257/28,713/336 is 8795568

Greatest Common Factor of 62,28,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,28,336 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 62,28,336 . The biggest common factor number is the GCF number.
So the greatest common factor 62,28,336 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 96/62, 257/28, 713/336

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 96/62, 257/28, 713/336?

Answer: LCM of Numerators as per given numbers 96/62, 257/28, 713/336 is

LCM of Numerators i.e. for 96,257,713 is 17591136

GCF of denominators i.e. for 62,28,336 is 2.

Thus, LCM of Fractions is 8795568.Finally, LCM of Fractions for 96/62, 257/28, 713/336 is 8795568.