Least Common Multiple of 476/994, 6538/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 476/994, 6538/728 quickly i.e. 15878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 476/994, 6538/728 is 15878.

LCM(476/994, 6538/728) = 15878

LCM of 476/994, 6538/728

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 476/994,6538/728

Given numbers are 476/994,6538/728

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 476,6538

Least Common Multiple of Numerators i.e. LCM of 476,6538 is 222292.

GCF of Denominators means GCF of 994,728 as per the given fractions.

GCF of 994,728 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 476,6538

LCM of Fractions 476/994,6538/728 is 15878

2 476, 6538
7 238, 3269
34, 467

∴ So the LCM of the given numbers is 2 x 7 x 34 x 467 = 222292

Least Common Multiple of 476,6538 with GCF Formula

Least Common Multiple of 476,6538 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 476,6538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,6538) = 14

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

GCF(476,6538) x common factors =14 x 1 = 14

LCM(476,6538) = ( 476 × 6538 ) / 14

LCM(476,6538) = 3112088 / 14

LCM(476,6538) = 222292


Lets's calculate GCF of 994,728

2 994, 728
7 497, 364
71, 52

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 222292/14

Therefore the LCM of Fractions 476/994,6538/728 is 15878

Greatest Common Factor of 994,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,728 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 994,728 . The biggest common factor number is the GCF number.
So the greatest common factor 994,728 is 14.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 476/994, 6538/728

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 476/994, 6538/728?

Answer: LCM of Numerators as per given numbers 476/994, 6538/728 is

LCM of Numerators i.e. for 476,6538 is 222292

GCF of denominators i.e. for 994,728 is 14.

Thus, LCM of Fractions is 15878.Finally, LCM of Fractions for 476/994, 6538/728 is 15878.