Least Common Multiple of 420/231, 708/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 420/231, 708/968 quickly i.e. 24780/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 420/231, 708/968 is 24780/11.

LCM(420/231, 708/968) = 24780/11

LCM of 420/231, 708/968

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 420/231,708/968

Given numbers are 420/231,708/968

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 420,708

Least Common Multiple of Numerators i.e. LCM of 420,708 is 24780.

GCF of Denominators means GCF of 231,968 as per the given fractions.

GCF of 231,968 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 420,708

LCM of Fractions 420/231,708/968 is 24780/11

2 420, 708
2 210, 354
3 105, 177
35, 59

∴ So the LCM of the given numbers is 2 x 2 x 3 x 35 x 59 = 24780

Least Common Multiple of 420,708 with GCF Formula

Least Common Multiple of 420,708 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 420,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,708) = 12

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

GCF(420,708) x common factors =12 x 1 = 12

LCM(420,708) = ( 420 × 708 ) / 12

LCM(420,708) = 297360 / 12

LCM(420,708) = 24780


Lets's calculate GCF of 231,968

11 231, 968
21, 88

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24780/11

Therefore the LCM of Fractions 420/231,708/968 is 24780/11

Greatest Common Factor of 231,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,968 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 231,968 . The biggest common factor number is the GCF number.
So the greatest common factor 231,968 is 11.


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 420/231, 708/968

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 420/231, 708/968?

Answer: LCM of Numerators as per given numbers 420/231, 708/968 is

LCM of Numerators i.e. for 420,708 is 24780

GCF of denominators i.e. for 231,968 is 11.

Thus, LCM of Fractions is 24780/11.Finally, LCM of Fractions for 420/231, 708/968 is 24780/11.