Least Common Multiple of 136/96, 249/60, 558/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 136/96, 249/60, 558/675 quickly i.e. 1049784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 136/96, 249/60, 558/675 is 1049784.

LCM(136/96, 249/60, 558/675) = 1049784

LCM of 136/96, 249/60, 558/675

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 136/96,249/60,558/675

Given numbers are 136/96,249/60,558/675

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 136,249,558

Least Common Multiple of Numerators i.e. LCM of 136,249,558 is 3149352.

GCF of Denominators means GCF of 96,60,675 as per the given fractions.

GCF of 96,60,675 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 136,249,558

LCM of Fractions 136/96,249/60,558/675 is 1049784

2 136, 249, 558
3 68, 249, 279
68, 83, 93

∴ So the LCM of the given numbers is 2 x 3 x 68 x 83 x 93 = 3149352

Least Common Multiple of 136,249,558 with GCF Formula

Least Common Multiple of 136,249,558 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 136,249,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,249,558) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(136,249,558) x common factors =1 x 6 = 6

LCM(136,249,558) = ( 136 × 249 × 558 ) / 6

LCM(136,249,558) = 18896112 / 6

LCM(136,249,558) = 3149352


Lets's calculate GCF of 96,60,675

3 96, 60, 675
32, 20, 225

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3149352/3

Therefore the LCM of Fractions 136/96,249/60,558/675 is 1049784

Greatest Common Factor of 96,60,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,60,675 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 96,60,675 . The biggest common factor number is the GCF number.
So the greatest common factor 96,60,675 is 3.


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 136/96, 249/60, 558/675

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 136/96, 249/60, 558/675?

Answer: LCM of Numerators as per given numbers 136/96, 249/60, 558/675 is

LCM of Numerators i.e. for 136,249,558 is 3149352

GCF of denominators i.e. for 96,60,675 is 3.

Thus, LCM of Fractions is 1049784.Finally, LCM of Fractions for 136/96, 249/60, 558/675 is 1049784.