Least Common Multiple of 96/758, 73/485, 102/325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 96/758, 73/485, 102/325 quickly i.e. 119136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/758, 73/485, 102/325 is 119136.

LCM(96/758, 73/485, 102/325) = 119136

LCM of 96/758, 73/485, 102/325

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 96/758,73/485,102/325

Given numbers are 96/758,73/485,102/325

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 96,73,102

Least Common Multiple of Numerators i.e. LCM of 96,73,102 is 119136.

GCF of Denominators means GCF of 758,485,325 as per the given fractions.

GCF of 758,485,325 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,73,102

LCM of Fractions 96/758,73/485,102/325 is 119136

2 96, 73, 102
3 48, 73, 51
16, 73, 17

∴ So the LCM of the given numbers is 2 x 3 x 16 x 73 x 17 = 119136

Least Common Multiple of 96,73,102 with GCF Formula

Least Common Multiple of 96,73,102 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 96,73,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,73,102) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(96,73,102) x common factors =1 x 6 = 6

LCM(96,73,102) = ( 96 × 73 × 102 ) / 6

LCM(96,73,102) = 714816 / 6

LCM(96,73,102) = 119136


Lets's calculate GCF of 758,485,325

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119136/1

Therefore the LCM of Fractions 96/758,73/485,102/325 is 119136

Greatest Common Factor of 758,485,325 By Matching Biggest Common Factor Method

Greatest Common Factor of 758,485,325 By Matching Biggest Common Factor Method

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Greatest Common Factor

We found the factors 758,485,325 . The biggest common factor number is the GCF number.
So the greatest common factor 758,485,325 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 96/758, 73/485, 102/325

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 96/758, 73/485, 102/325?

Answer: LCM of Numerators as per given numbers 96/758, 73/485, 102/325 is

LCM of Numerators i.e. for 96,73,102 is 119136

GCF of denominators i.e. for 758,485,325 is 1.

Thus, LCM of Fractions is 119136.Finally, LCM of Fractions for 96/758, 73/485, 102/325 is 119136.