Least Common Multiple of 481/69, 377/9416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 481/69, 377/9416 quickly i.e. 13949 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 481/69, 377/9416 is 13949.

LCM(481/69, 377/9416) = 13949

LCM of 481/69, 377/9416

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 481/69,377/9416

Given numbers are 481/69,377/9416

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 481,377

Least Common Multiple of Numerators i.e. LCM of 481,377 is 13949.

GCF of Denominators means GCF of 69,9416 as per the given fractions.

GCF of 69,9416 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 481,377

LCM of Fractions 481/69,377/9416 is 13949

13 481, 377
37, 29

∴ So the LCM of the given numbers is 13 x 37 x 29 = 13949

Least Common Multiple of 481,377 with GCF Formula

Least Common Multiple of 481,377 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 481,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,377) = 13

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

GCF(481,377) x common factors =13 x 1 = 13

LCM(481,377) = ( 481 × 377 ) / 13

LCM(481,377) = 181337 / 13

LCM(481,377) = 13949


Lets's calculate GCF of 69,9416

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13949/1

Therefore the LCM of Fractions 481/69,377/9416 is 13949

Greatest Common Factor of 69,9416 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,9416 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 9416

List of positive integer factors of 9416 that divides 9416 without a remainder.

1,2,4,8,11,22,44,88,107,214,428,856,1177,2354,4708,9416

Greatest Common Factor

We found the factors 69,9416 . The biggest common factor number is the GCF number.
So the greatest common factor 69,9416 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 481/69, 377/9416

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 481/69, 377/9416?

Answer: LCM of Numerators as per given numbers 481/69, 377/9416 is

LCM of Numerators i.e. for 481,377 is 13949

GCF of denominators i.e. for 69,9416 is 1.

Thus, LCM of Fractions is 13949.Finally, LCM of Fractions for 481/69, 377/9416 is 13949.