Least Common Multiple of 68/60, 59/95, 466/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 68/60, 59/95, 466/191 quickly i.e. 934796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/60, 59/95, 466/191 is 934796.

LCM(68/60, 59/95, 466/191) = 934796

LCM of 68/60, 59/95, 466/191

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 68/60,59/95,466/191

Given numbers are 68/60,59/95,466/191

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 68,59,466

Least Common Multiple of Numerators i.e. LCM of 68,59,466 is 934796.

GCF of Denominators means GCF of 60,95,191 as per the given fractions.

GCF of 60,95,191 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,59,466

LCM of Fractions 68/60,59/95,466/191 is 934796

2 68, 59, 466
34, 59, 233

∴ So the LCM of the given numbers is 2 x 34 x 59 x 233 = 934796

Least Common Multiple of 68,59,466 with GCF Formula

Least Common Multiple of 68,59,466 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 68,59,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,59,466) = 1

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

GCF(68,59,466) x common factors =1 x 2 = 2

LCM(68,59,466) = ( 68 × 59 × 466 ) / 2

LCM(68,59,466) = 1869592 / 2

LCM(68,59,466) = 934796


Lets's calculate GCF of 60,95,191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 934796/1

Therefore the LCM of Fractions 68/60,59/95,466/191 is 934796

Greatest Common Factor of 60,95,191 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,95,191 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Greatest Common Factor

We found the factors 60,95,191 . The biggest common factor number is the GCF number.
So the greatest common factor 60,95,191 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 68/60, 59/95, 466/191

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 68/60, 59/95, 466/191?

Answer: LCM of Numerators as per given numbers 68/60, 59/95, 466/191 is

LCM of Numerators i.e. for 68,59,466 is 934796

GCF of denominators i.e. for 60,95,191 is 1.

Thus, LCM of Fractions is 934796.Finally, LCM of Fractions for 68/60, 59/95, 466/191 is 934796.