Least Common Multiple of 21/353, 465/612, 135/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 21/353, 465/612, 135/422 quickly i.e. 29295 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/353, 465/612, 135/422 is 29295.

LCM(21/353, 465/612, 135/422) = 29295

LCM of 21/353, 465/612, 135/422

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 21/353,465/612,135/422

Given numbers are 21/353,465/612,135/422

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 21,465,135

Least Common Multiple of Numerators i.e. LCM of 21,465,135 is 29295.

GCF of Denominators means GCF of 353,612,422 as per the given fractions.

GCF of 353,612,422 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,465,135

LCM of Fractions 21/353,465/612,135/422 is 29295

3 21, 465, 135
5 7, 155, 45
7, 31, 9

∴ So the LCM of the given numbers is 3 x 5 x 7 x 31 x 9 = 29295

Least Common Multiple of 21,465,135 with GCF Formula

Least Common Multiple of 21,465,135 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 21,465,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,465,135) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(21,465,135) x common factors =3 x 15 = 45

LCM(21,465,135) = ( 21 × 465 × 135 ) / 45

LCM(21,465,135) = 1318275 / 45

LCM(21,465,135) = 29295


Lets's calculate GCF of 353,612,422

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29295/1

Therefore the LCM of Fractions 21/353,465/612,135/422 is 29295

Greatest Common Factor of 353,612,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,612,422 By Matching Biggest Common Factor Method

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 353,612,422 . The biggest common factor number is the GCF number.
So the greatest common factor 353,612,422 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 21/353, 465/612, 135/422

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 21/353, 465/612, 135/422?

Answer: LCM of Numerators as per given numbers 21/353, 465/612, 135/422 is

LCM of Numerators i.e. for 21,465,135 is 29295

GCF of denominators i.e. for 353,612,422 is 1.

Thus, LCM of Fractions is 29295.Finally, LCM of Fractions for 21/353, 465/612, 135/422 is 29295.