Least Common Multiple of 4881/735, 5736/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4881/735, 5736/481 quickly i.e. 9332472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4881/735, 5736/481 is 9332472.

LCM(4881/735, 5736/481) = 9332472

LCM of 4881/735, 5736/481

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 4881/735,5736/481

Given numbers are 4881/735,5736/481

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 4881,5736

Least Common Multiple of Numerators i.e. LCM of 4881,5736 is 9332472.

GCF of Denominators means GCF of 735,481 as per the given fractions.

GCF of 735,481 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4881,5736

LCM of Fractions 4881/735,5736/481 is 9332472

3 4881, 5736
1627, 1912

∴ So the LCM of the given numbers is 3 x 1627 x 1912 = 9332472

Least Common Multiple of 4881,5736 with GCF Formula

Least Common Multiple of 4881,5736 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 4881,5736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4881,5736) = 3

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

GCF(4881,5736) x common factors =3 x 1 = 3

LCM(4881,5736) = ( 4881 × 5736 ) / 3

LCM(4881,5736) = 27997416 / 3

LCM(4881,5736) = 9332472


Lets's calculate GCF of 735,481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9332472/1

Therefore the LCM of Fractions 4881/735,5736/481 is 9332472

Greatest Common Factor of 735,481 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,481 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Greatest Common Factor

We found the factors 735,481 . The biggest common factor number is the GCF number.
So the greatest common factor 735,481 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4881/735, 5736/481

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 4881/735, 5736/481?

Answer: LCM of Numerators as per given numbers 4881/735, 5736/481 is

LCM of Numerators i.e. for 4881,5736 is 9332472

GCF of denominators i.e. for 735,481 is 1.

Thus, LCM of Fractions is 9332472.Finally, LCM of Fractions for 4881/735, 5736/481 is 9332472.