Least Common Multiple of 96/136, 297/36, 541/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/136, 297/36, 541/817 quickly i.e. 5141664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/136, 297/36, 541/817 is 5141664.

LCM(96/136, 297/36, 541/817) = 5141664

LCM of 96/136, 297/36, 541/817

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 96/136,297/36,541/817

Given numbers are 96/136,297/36,541/817

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 96,297,541

Least Common Multiple of Numerators i.e. LCM of 96,297,541 is 5141664.

GCF of Denominators means GCF of 136,36,817 as per the given fractions.

GCF of 136,36,817 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,297,541

LCM of Fractions 96/136,297/36,541/817 is 5141664

3 96, 297, 541
32, 99, 541

∴ So the LCM of the given numbers is 3 x 32 x 99 x 541 = 5141664

Least Common Multiple of 96,297,541 with GCF Formula

Least Common Multiple of 96,297,541 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 96,297,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,297,541) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(96,297,541) x common factors =1 x 3 = 3

LCM(96,297,541) = ( 96 × 297 × 541 ) / 3

LCM(96,297,541) = 15424992 / 3

LCM(96,297,541) = 5141664


Lets's calculate GCF of 136,36,817

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5141664/1

Therefore the LCM of Fractions 96/136,297/36,541/817 is 5141664

Greatest Common Factor of 136,36,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,36,817 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

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

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 136,36,817 . The biggest common factor number is the GCF number.
So the greatest common factor 136,36,817 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 96/136, 297/36, 541/817

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 96/136, 297/36, 541/817?

Answer: LCM of Numerators as per given numbers 96/136, 297/36, 541/817 is

LCM of Numerators i.e. for 96,297,541 is 5141664

GCF of denominators i.e. for 136,36,817 is 1.

Thus, LCM of Fractions is 5141664.Finally, LCM of Fractions for 96/136, 297/36, 541/817 is 5141664.