Least Common Multiple of 96/646, 42/680, 174/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/646, 42/680, 174/164 quickly i.e. 9744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/646, 42/680, 174/164 is 9744.

LCM(96/646, 42/680, 174/164) = 9744

LCM of 96/646, 42/680, 174/164

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 96/646,42/680,174/164

Given numbers are 96/646,42/680,174/164

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 96,42,174

Least Common Multiple of Numerators i.e. LCM of 96,42,174 is 19488.

GCF of Denominators means GCF of 646,680,164 as per the given fractions.

GCF of 646,680,164 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,42,174

LCM of Fractions 96/646,42/680,174/164 is 9744

2 96, 42, 174
3 48, 21, 87
16, 7, 29

∴ So the LCM of the given numbers is 2 x 3 x 16 x 7 x 29 = 19488

Least Common Multiple of 96,42,174 with GCF Formula

Least Common Multiple of 96,42,174 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 96,42,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,42,174) = 6

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

GCF(96,42,174) x common factors =6 x 6 = 36

LCM(96,42,174) = ( 96 × 42 × 174 ) / 36

LCM(96,42,174) = 701568 / 36

LCM(96,42,174) = 19488


Lets's calculate GCF of 646,680,164

2 646, 680, 164
323, 340, 82

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19488/2

Therefore the LCM of Fractions 96/646,42/680,174/164 is 9744

Greatest Common Factor of 646,680,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,680,164 By Matching Biggest Common Factor Method

Factors of 646

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

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

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 646,680,164 . The biggest common factor number is the GCF number.
So the greatest common factor 646,680,164 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 96/646, 42/680, 174/164

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 96/646, 42/680, 174/164?

Answer: LCM of Numerators as per given numbers 96/646, 42/680, 174/164 is

LCM of Numerators i.e. for 96,42,174 is 19488

GCF of denominators i.e. for 646,680,164 is 2.

Thus, LCM of Fractions is 9744.Finally, LCM of Fractions for 96/646, 42/680, 174/164 is 9744.