Least Common Multiple of 481/46, 979/3736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 481/46, 979/3736 quickly i.e. 470899/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 481/46, 979/3736 is 470899/2.

LCM(481/46, 979/3736) = 470899/2

LCM of 481/46, 979/3736

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 481/46,979/3736

Given numbers are 481/46,979/3736

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 481,979

Least Common Multiple of Numerators i.e. LCM of 481,979 is 470899.

GCF of Denominators means GCF of 46,3736 as per the given fractions.

GCF of 46,3736 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 481,979

LCM of Fractions 481/46,979/3736 is 470899/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 470899

Least Common Multiple of 481,979 with GCF Formula

Least Common Multiple of 481,979 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 481,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,979) = 1

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

GCF(481,979) x common factors =1 x 1 = 1

LCM(481,979) = ( 481 × 979 ) / 1

LCM(481,979) = 470899 / 1

LCM(481,979) = 470899


Lets's calculate GCF of 46,3736

2 46, 3736
23, 1868

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 470899/2

Therefore the LCM of Fractions 481/46,979/3736 is 470899/2

Greatest Common Factor of 46,3736 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,3736 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 3736

List of positive integer factors of 3736 that divides 3736 without a remainder.

1,2,4,8,467,934,1868,3736

Greatest Common Factor

We found the factors 46,3736 . The biggest common factor number is the GCF number.
So the greatest common factor 46,3736 is 2.


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Frequently Asked Questions on Fractional LCM of 481/46, 979/3736

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 481/46, 979/3736?

Answer: LCM of Numerators as per given numbers 481/46, 979/3736 is

LCM of Numerators i.e. for 481,979 is 470899

GCF of denominators i.e. for 46,3736 is 2.

Thus, LCM of Fractions is 470899/2.Finally, LCM of Fractions for 481/46, 979/3736 is 470899/2.