Least Common Multiple of 96/357, 833/339, 186/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/357, 833/339, 186/627 quickly i.e. 826336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/357, 833/339, 186/627 is 826336.

LCM(96/357, 833/339, 186/627) = 826336

LCM of 96/357, 833/339, 186/627

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 96/357,833/339,186/627

Given numbers are 96/357,833/339,186/627

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 96,833,186

Least Common Multiple of Numerators i.e. LCM of 96,833,186 is 2479008.

GCF of Denominators means GCF of 357,339,627 as per the given fractions.

GCF of 357,339,627 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,833,186

LCM of Fractions 96/357,833/339,186/627 is 826336

2 96, 833, 186
3 48, 833, 93
16, 833, 31

∴ So the LCM of the given numbers is 2 x 3 x 16 x 833 x 31 = 2479008

Least Common Multiple of 96,833,186 with GCF Formula

Least Common Multiple of 96,833,186 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 96,833,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,833,186) = 1

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

GCF(96,833,186) x common factors =1 x 6 = 6

LCM(96,833,186) = ( 96 × 833 × 186 ) / 6

LCM(96,833,186) = 14874048 / 6

LCM(96,833,186) = 2479008


Lets's calculate GCF of 357,339,627

3 357, 339, 627
119, 113, 209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2479008/3

Therefore the LCM of Fractions 96/357,833/339,186/627 is 826336

Greatest Common Factor of 357,339,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,339,627 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 357,339,627 . The biggest common factor number is the GCF number.
So the greatest common factor 357,339,627 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 96/357, 833/339, 186/627

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 96/357, 833/339, 186/627?

Answer: LCM of Numerators as per given numbers 96/357, 833/339, 186/627 is

LCM of Numerators i.e. for 96,833,186 is 2479008

GCF of denominators i.e. for 357,339,627 is 3.

Thus, LCM of Fractions is 826336.Finally, LCM of Fractions for 96/357, 833/339, 186/627 is 826336.