Least Common Multiple of 96/382, 39/902, 794/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/382, 39/902, 794/152 quickly i.e. 247728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/382, 39/902, 794/152 is 247728.

LCM(96/382, 39/902, 794/152) = 247728

LCM of 96/382, 39/902, 794/152

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 96/382,39/902,794/152

Given numbers are 96/382,39/902,794/152

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 96,39,794

Least Common Multiple of Numerators i.e. LCM of 96,39,794 is 495456.

GCF of Denominators means GCF of 382,902,152 as per the given fractions.

GCF of 382,902,152 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,39,794

LCM of Fractions 96/382,39/902,794/152 is 247728

2 96, 39, 794
3 48, 39, 397
16, 13, 397

∴ So the LCM of the given numbers is 2 x 3 x 16 x 13 x 397 = 495456

Least Common Multiple of 96,39,794 with GCF Formula

Least Common Multiple of 96,39,794 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 96,39,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,39,794) = 1

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

GCF(96,39,794) x common factors =1 x 6 = 6

LCM(96,39,794) = ( 96 × 39 × 794 ) / 6

LCM(96,39,794) = 2972736 / 6

LCM(96,39,794) = 495456


Lets's calculate GCF of 382,902,152

2 382, 902, 152
191, 451, 76

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 495456/2

Therefore the LCM of Fractions 96/382,39/902,794/152 is 247728

Greatest Common Factor of 382,902,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,902,152 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 382,902,152 . The biggest common factor number is the GCF number.
So the greatest common factor 382,902,152 is 2.


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 96/382, 39/902, 794/152

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 96/382, 39/902, 794/152?

Answer: LCM of Numerators as per given numbers 96/382, 39/902, 794/152 is

LCM of Numerators i.e. for 96,39,794 is 495456

GCF of denominators i.e. for 382,902,152 is 2.

Thus, LCM of Fractions is 247728.Finally, LCM of Fractions for 96/382, 39/902, 794/152 is 247728.