Least Common Multiple of 96/682, 94/158, 378/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/682, 94/158, 378/217 quickly i.e. 284256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/682, 94/158, 378/217 is 284256.

LCM(96/682, 94/158, 378/217) = 284256

LCM of 96/682, 94/158, 378/217

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 96/682,94/158,378/217

Given numbers are 96/682,94/158,378/217

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 96,94,378

Least Common Multiple of Numerators i.e. LCM of 96,94,378 is 284256.

GCF of Denominators means GCF of 682,158,217 as per the given fractions.

GCF of 682,158,217 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,94,378

LCM of Fractions 96/682,94/158,378/217 is 284256

2 96, 94, 378
3 48, 47, 189
16, 47, 63

∴ So the LCM of the given numbers is 2 x 3 x 16 x 47 x 63 = 284256

Least Common Multiple of 96,94,378 with GCF Formula

Least Common Multiple of 96,94,378 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 96,94,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,94,378) = 2

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

GCF(96,94,378) x common factors =2 x 6 = 12

LCM(96,94,378) = ( 96 × 94 × 378 ) / 12

LCM(96,94,378) = 3411072 / 12

LCM(96,94,378) = 284256


Lets's calculate GCF of 682,158,217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 284256/1

Therefore the LCM of Fractions 96/682,94/158,378/217 is 284256

Greatest Common Factor of 682,158,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,158,217 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 682,158,217 . The biggest common factor number is the GCF number.
So the greatest common factor 682,158,217 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 96/682, 94/158, 378/217

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 96/682, 94/158, 378/217?

Answer: LCM of Numerators as per given numbers 96/682, 94/158, 378/217 is

LCM of Numerators i.e. for 96,94,378 is 284256

GCF of denominators i.e. for 682,158,217 is 1.

Thus, LCM of Fractions is 284256.Finally, LCM of Fractions for 96/682, 94/158, 378/217 is 284256.