Least Common Multiple of 328/209, 746/215, 174/379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 328/209, 746/215, 174/379 quickly i.e. 10643928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 328/209, 746/215, 174/379 is 10643928.

LCM(328/209, 746/215, 174/379) = 10643928

LCM of 328/209, 746/215, 174/379

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 328/209,746/215,174/379

Given numbers are 328/209,746/215,174/379

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 328,746,174

Least Common Multiple of Numerators i.e. LCM of 328,746,174 is 10643928.

GCF of Denominators means GCF of 209,215,379 as per the given fractions.

GCF of 209,215,379 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 328,746,174

LCM of Fractions 328/209,746/215,174/379 is 10643928

2 328, 746, 174
164, 373, 87

∴ So the LCM of the given numbers is 2 x 164 x 373 x 87 = 10643928

Least Common Multiple of 328,746,174 with GCF Formula

Least Common Multiple of 328,746,174 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 328,746,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,746,174) = 2

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

GCF(328,746,174) x common factors =2 x 2 = 4

LCM(328,746,174) = ( 328 × 746 × 174 ) / 4

LCM(328,746,174) = 42575712 / 4

LCM(328,746,174) = 10643928


Lets's calculate GCF of 209,215,379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10643928/1

Therefore the LCM of Fractions 328/209,746/215,174/379 is 10643928

Greatest Common Factor of 209,215,379 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,215,379 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Greatest Common Factor

We found the factors 209,215,379 . The biggest common factor number is the GCF number.
So the greatest common factor 209,215,379 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 328/209, 746/215, 174/379

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 328/209, 746/215, 174/379?

Answer: LCM of Numerators as per given numbers 328/209, 746/215, 174/379 is

LCM of Numerators i.e. for 328,746,174 is 10643928

GCF of denominators i.e. for 209,215,379 is 1.

Thus, LCM of Fractions is 10643928.Finally, LCM of Fractions for 328/209, 746/215, 174/379 is 10643928.