Least Common Multiple of 94/96, 60/71, 218/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 94/96, 60/71, 218/125 quickly i.e. 307380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/96, 60/71, 218/125 is 307380.

LCM(94/96, 60/71, 218/125) = 307380

LCM of 94/96, 60/71, 218/125

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 94/96,60/71,218/125

Given numbers are 94/96,60/71,218/125

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 94,60,218

Least Common Multiple of Numerators i.e. LCM of 94,60,218 is 307380.

GCF of Denominators means GCF of 96,71,125 as per the given fractions.

GCF of 96,71,125 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,60,218

LCM of Fractions 94/96,60/71,218/125 is 307380

2 94, 60, 218
47, 30, 109

∴ So the LCM of the given numbers is 2 x 47 x 30 x 109 = 307380

Least Common Multiple of 94,60,218 with GCF Formula

Least Common Multiple of 94,60,218 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 94,60,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,60,218) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(94,60,218) x common factors =2 x 2 = 4

LCM(94,60,218) = ( 94 × 60 × 218 ) / 4

LCM(94,60,218) = 1229520 / 4

LCM(94,60,218) = 307380


Lets's calculate GCF of 96,71,125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307380/1

Therefore the LCM of Fractions 94/96,60/71,218/125 is 307380

Greatest Common Factor of 96,71,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,71,125 By Matching Biggest Common Factor Method

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 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 96,71,125 . The biggest common factor number is the GCF number.
So the greatest common factor 96,71,125 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 94/96, 60/71, 218/125

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 94/96, 60/71, 218/125?

Answer: LCM of Numerators as per given numbers 94/96, 60/71, 218/125 is

LCM of Numerators i.e. for 94,60,218 is 307380

GCF of denominators i.e. for 96,71,125 is 1.

Thus, LCM of Fractions is 307380.Finally, LCM of Fractions for 94/96, 60/71, 218/125 is 307380.