Least Common Multiple of 172/96, 621/99, 754/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 172/96, 621/99, 754/339 quickly i.e. 13422708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 172/96, 621/99, 754/339 is 13422708.

LCM(172/96, 621/99, 754/339) = 13422708

LCM of 172/96, 621/99, 754/339

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 172/96,621/99,754/339

Given numbers are 172/96,621/99,754/339

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 172,621,754

Least Common Multiple of Numerators i.e. LCM of 172,621,754 is 40268124.

GCF of Denominators means GCF of 96,99,339 as per the given fractions.

GCF of 96,99,339 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 172,621,754

LCM of Fractions 172/96,621/99,754/339 is 13422708

2 172, 621, 754
86, 621, 377

∴ So the LCM of the given numbers is 2 x 86 x 621 x 377 = 40268124

Least Common Multiple of 172,621,754 with GCF Formula

Least Common Multiple of 172,621,754 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 172,621,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,621,754) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(172,621,754) x common factors =1 x 2 = 2

LCM(172,621,754) = ( 172 × 621 × 754 ) / 2

LCM(172,621,754) = 80536248 / 2

LCM(172,621,754) = 40268124


Lets's calculate GCF of 96,99,339

3 96, 99, 339
32, 33, 113

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40268124/3

Therefore the LCM of Fractions 172/96,621/99,754/339 is 13422708

Greatest Common Factor of 96,99,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,99,339 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 96,99,339 . The biggest common factor number is the GCF number.
So the greatest common factor 96,99,339 is 3.


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 172/96, 621/99, 754/339

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 172/96, 621/99, 754/339?

Answer: LCM of Numerators as per given numbers 172/96, 621/99, 754/339 is

LCM of Numerators i.e. for 172,621,754 is 40268124

GCF of denominators i.e. for 96,99,339 is 3.

Thus, LCM of Fractions is 13422708.Finally, LCM of Fractions for 172/96, 621/99, 754/339 is 13422708.