Least Common Multiple of 708/21, 983/4878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 708/21, 983/4878 quickly i.e. 231988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 708/21, 983/4878 is 231988.

LCM(708/21, 983/4878) = 231988

LCM of 708/21, 983/4878

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 708/21,983/4878

Given numbers are 708/21,983/4878

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 708,983

Least Common Multiple of Numerators i.e. LCM of 708,983 is 695964.

GCF of Denominators means GCF of 21,4878 as per the given fractions.

GCF of 21,4878 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 708,983

LCM of Fractions 708/21,983/4878 is 231988

Given numbers has no common factors except 1. So, there LCM is their product i.e 695964

Least Common Multiple of 708,983 with GCF Formula

Least Common Multiple of 708,983 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 708,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,983) = 1

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

GCF(708,983) x common factors =1 x 1 = 1

LCM(708,983) = ( 708 × 983 ) / 1

LCM(708,983) = 695964 / 1

LCM(708,983) = 695964


Lets's calculate GCF of 21,4878

3 21, 4878
7, 1626

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 695964/3

Therefore the LCM of Fractions 708/21,983/4878 is 231988

Greatest Common Factor of 21,4878 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,4878 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 4878

List of positive integer factors of 4878 that divides 4878 without a remainder.

1,2,3,6,9,18,271,542,813,1626,2439,4878

Greatest Common Factor

We found the factors 21,4878 . The biggest common factor number is the GCF number.
So the greatest common factor 21,4878 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 708/21, 983/4878

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 708/21, 983/4878?

Answer: LCM of Numerators as per given numbers 708/21, 983/4878 is

LCM of Numerators i.e. for 708,983 is 695964

GCF of denominators i.e. for 21,4878 is 3.

Thus, LCM of Fractions is 231988.Finally, LCM of Fractions for 708/21, 983/4878 is 231988.