Least Common Multiple of 96/340, 72/886, 954/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/340, 72/886, 954/646 quickly i.e. 7632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/340, 72/886, 954/646 is 7632.

LCM(96/340, 72/886, 954/646) = 7632

LCM of 96/340, 72/886, 954/646

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 96/340,72/886,954/646

Given numbers are 96/340,72/886,954/646

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 96,72,954

Least Common Multiple of Numerators i.e. LCM of 96,72,954 is 15264.

GCF of Denominators means GCF of 340,886,646 as per the given fractions.

GCF of 340,886,646 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,72,954

LCM of Fractions 96/340,72/886,954/646 is 7632

2 96, 72, 954
2 48, 36, 477
2 24, 18, 477
3 12, 9, 477
3 4, 3, 159
4, 1, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 4 x 1 x 53 = 15264

Least Common Multiple of 96,72,954 with GCF Formula

Least Common Multiple of 96,72,954 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 96,72,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,72,954) = 6

common factors(in case of two or more numbers have common factors) = 72

GCF(96,72,954) x common factors =6 x 72 = 432

LCM(96,72,954) = ( 96 × 72 × 954 ) / 432

LCM(96,72,954) = 6594048 / 432

LCM(96,72,954) = 15264


Lets's calculate GCF of 340,886,646

2 340, 886, 646
170, 443, 323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15264/2

Therefore the LCM of Fractions 96/340,72/886,954/646 is 7632

Greatest Common Factor of 340,886,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,886,646 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 340,886,646 . The biggest common factor number is the GCF number.
So the greatest common factor 340,886,646 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 96/340, 72/886, 954/646

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 96/340, 72/886, 954/646?

Answer: LCM of Numerators as per given numbers 96/340, 72/886, 954/646 is

LCM of Numerators i.e. for 96,72,954 is 15264

GCF of denominators i.e. for 340,886,646 is 2.

Thus, LCM of Fractions is 7632.Finally, LCM of Fractions for 96/340, 72/886, 954/646 is 7632.