Least Common Multiple of 76/359, 729/238, 329/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/359, 729/238, 329/117 quickly i.e. 18227916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/359, 729/238, 329/117 is 18227916.

LCM(76/359, 729/238, 329/117) = 18227916

LCM of 76/359, 729/238, 329/117

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 76/359,729/238,329/117

Given numbers are 76/359,729/238,329/117

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 76,729,329

Least Common Multiple of Numerators i.e. LCM of 76,729,329 is 18227916.

GCF of Denominators means GCF of 359,238,117 as per the given fractions.

GCF of 359,238,117 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,729,329

LCM of Fractions 76/359,729/238,329/117 is 18227916

Given numbers has no common factors except 1. So, there LCM is their product i.e 18227916

Least Common Multiple of 76,729,329 with GCF Formula

Least Common Multiple of 76,729,329 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 76,729,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,729,329) = 1

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

GCF(76,729,329) x common factors =1 x 1 = 1

LCM(76,729,329) = ( 76 × 729 × 329 ) / 1

LCM(76,729,329) = 18227916 / 1

LCM(76,729,329) = 18227916


Lets's calculate GCF of 359,238,117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18227916/1

Therefore the LCM of Fractions 76/359,729/238,329/117 is 18227916

Greatest Common Factor of 359,238,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,238,117 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 359,238,117 . The biggest common factor number is the GCF number.
So the greatest common factor 359,238,117 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 76/359, 729/238, 329/117

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 76/359, 729/238, 329/117?

Answer: LCM of Numerators as per given numbers 76/359, 729/238, 329/117 is

LCM of Numerators i.e. for 76,729,329 is 18227916

GCF of denominators i.e. for 359,238,117 is 1.

Thus, LCM of Fractions is 18227916.Finally, LCM of Fractions for 76/359, 729/238, 329/117 is 18227916.