Least Common Multiple of 694/71, 629/99, 246/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 694/71, 629/99, 246/540 quickly i.e. 53692698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 694/71, 629/99, 246/540 is 53692698.

LCM(694/71, 629/99, 246/540) = 53692698

LCM of 694/71, 629/99, 246/540

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 694/71,629/99,246/540

Given numbers are 694/71,629/99,246/540

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 694,629,246

Least Common Multiple of Numerators i.e. LCM of 694,629,246 is 53692698.

GCF of Denominators means GCF of 71,99,540 as per the given fractions.

GCF of 71,99,540 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 694,629,246

LCM of Fractions 694/71,629/99,246/540 is 53692698

2 694, 629, 246
347, 629, 123

∴ So the LCM of the given numbers is 2 x 347 x 629 x 123 = 53692698

Least Common Multiple of 694,629,246 with GCF Formula

Least Common Multiple of 694,629,246 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 694,629,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,629,246) = 1

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

GCF(694,629,246) x common factors =1 x 2 = 2

LCM(694,629,246) = ( 694 × 629 × 246 ) / 2

LCM(694,629,246) = 107385396 / 2

LCM(694,629,246) = 53692698


Lets's calculate GCF of 71,99,540

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53692698/1

Therefore the LCM of Fractions 694/71,629/99,246/540 is 53692698

Greatest Common Factor of 71,99,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,99,540 By Matching Biggest Common Factor Method

Factors of 71

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

1,71

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 71,99,540 . The biggest common factor number is the GCF number.
So the greatest common factor 71,99,540 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 694/71, 629/99, 246/540

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 694/71, 629/99, 246/540?

Answer: LCM of Numerators as per given numbers 694/71, 629/99, 246/540 is

LCM of Numerators i.e. for 694,629,246 is 53692698

GCF of denominators i.e. for 71,99,540 is 1.

Thus, LCM of Fractions is 53692698.Finally, LCM of Fractions for 694/71, 629/99, 246/540 is 53692698.