Least Common Multiple of 91/628, 28/253, 342/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 91/628, 28/253, 342/342 quickly i.e. 62244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/628, 28/253, 342/342 is 62244.

LCM(91/628, 28/253, 342/342) = 62244

LCM of 91/628, 28/253, 342/342

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 91/628,28/253,342/342

Given numbers are 91/628,28/253,342/342

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 91,28,342

Least Common Multiple of Numerators i.e. LCM of 91,28,342 is 62244.

GCF of Denominators means GCF of 628,253,342 as per the given fractions.

GCF of 628,253,342 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,28,342

LCM of Fractions 91/628,28/253,342/342 is 62244

2 91, 28, 342
7 91, 14, 171
13, 2, 171

∴ So the LCM of the given numbers is 2 x 7 x 13 x 2 x 171 = 62244

Least Common Multiple of 91,28,342 with GCF Formula

Least Common Multiple of 91,28,342 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 91,28,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,28,342) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(91,28,342) x common factors =1 x 14 = 14

LCM(91,28,342) = ( 91 × 28 × 342 ) / 14

LCM(91,28,342) = 871416 / 14

LCM(91,28,342) = 62244


Lets's calculate GCF of 628,253,342

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62244/1

Therefore the LCM of Fractions 91/628,28/253,342/342 is 62244

Greatest Common Factor of 628,253,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,253,342 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 628,253,342 . The biggest common factor number is the GCF number.
So the greatest common factor 628,253,342 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 91/628, 28/253, 342/342

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 91/628, 28/253, 342/342?

Answer: LCM of Numerators as per given numbers 91/628, 28/253, 342/342 is

LCM of Numerators i.e. for 91,28,342 is 62244

GCF of denominators i.e. for 628,253,342 is 1.

Thus, LCM of Fractions is 62244.Finally, LCM of Fractions for 91/628, 28/253, 342/342 is 62244.