Least Common Multiple of 56/982, 9666/9218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/982, 9666/9218 quickly i.e. 135324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/982, 9666/9218 is 135324.

LCM(56/982, 9666/9218) = 135324

LCM of 56/982, 9666/9218

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 56/982,9666/9218

Given numbers are 56/982,9666/9218

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 56,9666

Least Common Multiple of Numerators i.e. LCM of 56,9666 is 270648.

GCF of Denominators means GCF of 982,9218 as per the given fractions.

GCF of 982,9218 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,9666

LCM of Fractions 56/982,9666/9218 is 135324

2 56, 9666
28, 4833

∴ So the LCM of the given numbers is 2 x 28 x 4833 = 270648

Least Common Multiple of 56,9666 with GCF Formula

Least Common Multiple of 56,9666 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 56,9666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,9666) = 2

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

GCF(56,9666) x common factors =2 x 1 = 2

LCM(56,9666) = ( 56 × 9666 ) / 2

LCM(56,9666) = 541296 / 2

LCM(56,9666) = 270648


Lets's calculate GCF of 982,9218

2 982, 9218
491, 4609

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270648/2

Therefore the LCM of Fractions 56/982,9666/9218 is 135324

Greatest Common Factor of 982,9218 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,9218 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 9218

List of positive integer factors of 9218 that divides 9218 without a remainder.

1,2,11,22,419,838,4609,9218

Greatest Common Factor

We found the factors 982,9218 . The biggest common factor number is the GCF number.
So the greatest common factor 982,9218 is 2.


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 56/982, 9666/9218

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 56/982, 9666/9218?

Answer: LCM of Numerators as per given numbers 56/982, 9666/9218 is

LCM of Numerators i.e. for 56,9666 is 270648

GCF of denominators i.e. for 982,9218 is 2.

Thus, LCM of Fractions is 135324.Finally, LCM of Fractions for 56/982, 9666/9218 is 135324.