Least Common Multiple of 8511/228, 9653/5959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8511/228, 9653/5959 quickly i.e. 82156683 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8511/228, 9653/5959 is 82156683.

LCM(8511/228, 9653/5959) = 82156683

LCM of 8511/228, 9653/5959

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 8511/228,9653/5959

Given numbers are 8511/228,9653/5959

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 8511,9653

Least Common Multiple of Numerators i.e. LCM of 8511,9653 is 82156683.

GCF of Denominators means GCF of 228,5959 as per the given fractions.

GCF of 228,5959 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8511,9653

LCM of Fractions 8511/228,9653/5959 is 82156683

Given numbers has no common factors except 1. So, there LCM is their product i.e 82156683

Least Common Multiple of 8511,9653 with GCF Formula

Least Common Multiple of 8511,9653 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 8511,9653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8511,9653) = 1

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

GCF(8511,9653) x common factors =1 x 1 = 1

LCM(8511,9653) = ( 8511 × 9653 ) / 1

LCM(8511,9653) = 82156683 / 1

LCM(8511,9653) = 82156683


Lets's calculate GCF of 228,5959

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82156683/1

Therefore the LCM of Fractions 8511/228,9653/5959 is 82156683

Greatest Common Factor of 228,5959 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,5959 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 5959

List of positive integer factors of 5959 that divides 5959 without a remainder.

1,59,101,5959

Greatest Common Factor

We found the factors 228,5959 . The biggest common factor number is the GCF number.
So the greatest common factor 228,5959 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8511/228, 9653/5959

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 8511/228, 9653/5959?

Answer: LCM of Numerators as per given numbers 8511/228, 9653/5959 is

LCM of Numerators i.e. for 8511,9653 is 82156683

GCF of denominators i.e. for 228,5959 is 1.

Thus, LCM of Fractions is 82156683.Finally, LCM of Fractions for 8511/228, 9653/5959 is 82156683.