Least Common Multiple of 18/172, 757/767, 352/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/172, 757/767, 352/339 quickly i.e. 2398176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/172, 757/767, 352/339 is 2398176.

LCM(18/172, 757/767, 352/339) = 2398176

LCM of 18/172, 757/767, 352/339

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 18/172,757/767,352/339

Given numbers are 18/172,757/767,352/339

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 18,757,352

Least Common Multiple of Numerators i.e. LCM of 18,757,352 is 2398176.

GCF of Denominators means GCF of 172,767,339 as per the given fractions.

GCF of 172,767,339 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,757,352

LCM of Fractions 18/172,757/767,352/339 is 2398176

2 18, 757, 352
9, 757, 176

∴ So the LCM of the given numbers is 2 x 9 x 757 x 176 = 2398176

Least Common Multiple of 18,757,352 with GCF Formula

Least Common Multiple of 18,757,352 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 18,757,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,757,352) = 1

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

GCF(18,757,352) x common factors =1 x 2 = 2

LCM(18,757,352) = ( 18 × 757 × 352 ) / 2

LCM(18,757,352) = 4796352 / 2

LCM(18,757,352) = 2398176


Lets's calculate GCF of 172,767,339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2398176/1

Therefore the LCM of Fractions 18/172,757/767,352/339 is 2398176

Greatest Common Factor of 172,767,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 172,767,339 By Matching Biggest Common Factor Method

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

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 172,767,339 . The biggest common factor number is the GCF number.
So the greatest common factor 172,767,339 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 18/172, 757/767, 352/339

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 18/172, 757/767, 352/339?

Answer: LCM of Numerators as per given numbers 18/172, 757/767, 352/339 is

LCM of Numerators i.e. for 18,757,352 is 2398176

GCF of denominators i.e. for 172,767,339 is 1.

Thus, LCM of Fractions is 2398176.Finally, LCM of Fractions for 18/172, 757/767, 352/339 is 2398176.