Least Common Multiple of 73/379, 90/472, 857/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 73/379, 90/472, 857/634 quickly i.e. 5630490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/379, 90/472, 857/634 is 5630490.

LCM(73/379, 90/472, 857/634) = 5630490

LCM of 73/379, 90/472, 857/634

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 73/379,90/472,857/634

Given numbers are 73/379,90/472,857/634

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 73,90,857

Least Common Multiple of Numerators i.e. LCM of 73,90,857 is 5630490.

GCF of Denominators means GCF of 379,472,634 as per the given fractions.

GCF of 379,472,634 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,90,857

LCM of Fractions 73/379,90/472,857/634 is 5630490

Given numbers has no common factors except 1. So, there LCM is their product i.e 5630490

Least Common Multiple of 73,90,857 with GCF Formula

Least Common Multiple of 73,90,857 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 73,90,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,90,857) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(73,90,857) x common factors =1 x 1 = 1

LCM(73,90,857) = ( 73 × 90 × 857 ) / 1

LCM(73,90,857) = 5630490 / 1

LCM(73,90,857) = 5630490


Lets's calculate GCF of 379,472,634

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5630490/1

Therefore the LCM of Fractions 73/379,90/472,857/634 is 5630490

Greatest Common Factor of 379,472,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,472,634 By Matching Biggest Common Factor Method

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors 379,472,634 . The biggest common factor number is the GCF number.
So the greatest common factor 379,472,634 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 73/379, 90/472, 857/634

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 73/379, 90/472, 857/634?

Answer: LCM of Numerators as per given numbers 73/379, 90/472, 857/634 is

LCM of Numerators i.e. for 73,90,857 is 5630490

GCF of denominators i.e. for 379,472,634 is 1.

Thus, LCM of Fractions is 5630490.Finally, LCM of Fractions for 73/379, 90/472, 857/634 is 5630490.