Least Common Multiple of 72/656, 1384/2202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/656, 1384/2202 quickly i.e. 6228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/656, 1384/2202 is 6228.

LCM(72/656, 1384/2202) = 6228

LCM of 72/656, 1384/2202

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 72/656,1384/2202

Given numbers are 72/656,1384/2202

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 72,1384

Least Common Multiple of Numerators i.e. LCM of 72,1384 is 12456.

GCF of Denominators means GCF of 656,2202 as per the given fractions.

GCF of 656,2202 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,1384

LCM of Fractions 72/656,1384/2202 is 6228

2 72, 1384
2 36, 692
2 18, 346
9, 173

∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 173 = 12456

Least Common Multiple of 72,1384 with GCF Formula

Least Common Multiple of 72,1384 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 72,1384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,1384) = 8

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

GCF(72,1384) x common factors =8 x 1 = 8

LCM(72,1384) = ( 72 × 1384 ) / 8

LCM(72,1384) = 99648 / 8

LCM(72,1384) = 12456


Lets's calculate GCF of 656,2202

2 656, 2202
328, 1101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12456/2

Therefore the LCM of Fractions 72/656,1384/2202 is 6228

Greatest Common Factor of 656,2202 By Matching Biggest Common Factor Method

Greatest Common Factor of 656,2202 By Matching Biggest Common Factor Method

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 2202

List of positive integer factors of 2202 that divides 2202 without a remainder.

1,2,3,6,367,734,1101,2202

Greatest Common Factor

We found the factors 656,2202 . The biggest common factor number is the GCF number.
So the greatest common factor 656,2202 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 72/656, 1384/2202

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 72/656, 1384/2202?

Answer: LCM of Numerators as per given numbers 72/656, 1384/2202 is

LCM of Numerators i.e. for 72,1384 is 12456

GCF of denominators i.e. for 656,2202 is 2.

Thus, LCM of Fractions is 6228.Finally, LCM of Fractions for 72/656, 1384/2202 is 6228.