Least Common Multiple of 9656/272, 9068/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9656/272, 9068/879 quickly i.e. 21890152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9656/272, 9068/879 is 21890152.

LCM(9656/272, 9068/879) = 21890152

LCM of 9656/272, 9068/879

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 9656/272,9068/879

Given numbers are 9656/272,9068/879

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 9656,9068

Least Common Multiple of Numerators i.e. LCM of 9656,9068 is 21890152.

GCF of Denominators means GCF of 272,879 as per the given fractions.

GCF of 272,879 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9656,9068

LCM of Fractions 9656/272,9068/879 is 21890152

2 9656, 9068
2 4828, 4534
2414, 2267

∴ So the LCM of the given numbers is 2 x 2 x 2414 x 2267 = 21890152

Least Common Multiple of 9656,9068 with GCF Formula

Least Common Multiple of 9656,9068 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 9656,9068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9656,9068) = 4

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

GCF(9656,9068) x common factors =4 x 1 = 4

LCM(9656,9068) = ( 9656 × 9068 ) / 4

LCM(9656,9068) = 87560608 / 4

LCM(9656,9068) = 21890152


Lets's calculate GCF of 272,879

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21890152/1

Therefore the LCM of Fractions 9656/272,9068/879 is 21890152

Greatest Common Factor of 272,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,879 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Greatest Common Factor

We found the factors 272,879 . The biggest common factor number is the GCF number.
So the greatest common factor 272,879 is 1.


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 9656/272, 9068/879

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 9656/272, 9068/879?

Answer: LCM of Numerators as per given numbers 9656/272, 9068/879 is

LCM of Numerators i.e. for 9656,9068 is 21890152

GCF of denominators i.e. for 272,879 is 1.

Thus, LCM of Fractions is 21890152.Finally, LCM of Fractions for 9656/272, 9068/879 is 21890152.