Least Common Multiple of 96/174, 9328/3219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/174, 9328/3219 quickly i.e. 55968/87 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/174, 9328/3219 is 55968/87.

LCM(96/174, 9328/3219) = 55968/87

LCM of 96/174, 9328/3219

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 96/174,9328/3219

Given numbers are 96/174,9328/3219

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 96,9328

Least Common Multiple of Numerators i.e. LCM of 96,9328 is 55968.

GCF of Denominators means GCF of 174,3219 as per the given fractions.

GCF of 174,3219 is 87 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,9328

LCM of Fractions 96/174,9328/3219 is 55968/87

2 96, 9328
2 48, 4664
2 24, 2332
2 12, 1166
6, 583

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 6 x 583 = 55968

Least Common Multiple of 96,9328 with GCF Formula

Least Common Multiple of 96,9328 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 96,9328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,9328) = 16

common factors(in case of two or more numbers have common factors) = 1

GCF(96,9328) x common factors =16 x 1 = 16

LCM(96,9328) = ( 96 × 9328 ) / 16

LCM(96,9328) = 895488 / 16

LCM(96,9328) = 55968


Lets's calculate GCF of 174,3219

3 174, 3219
29 58, 1073
2, 37

∴ So the GCF of the given numbers is 3 x 29 = 87

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55968/87

Therefore the LCM of Fractions 96/174,9328/3219 is 55968/87

Greatest Common Factor of 174,3219 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,3219 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 3219

List of positive integer factors of 3219 that divides 3219 without a remainder.

1,3,29,37,87,111,1073,3219

Greatest Common Factor

We found the factors 174,3219 . The biggest common factor number is the GCF number.
So the greatest common factor 174,3219 is 87.


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 96/174, 9328/3219

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 96/174, 9328/3219?

Answer: LCM of Numerators as per given numbers 96/174, 9328/3219 is

LCM of Numerators i.e. for 96,9328 is 55968

GCF of denominators i.e. for 174,3219 is 87.

Thus, LCM of Fractions is 55968/87.Finally, LCM of Fractions for 96/174, 9328/3219 is 55968/87.