Least Common Multiple of 354/209, 317/779, 732/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/209, 317/779, 732/171 quickly i.e. 13690596/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/209, 317/779, 732/171 is 13690596/19.

LCM(354/209, 317/779, 732/171) = 13690596/19

LCM of 354/209, 317/779, 732/171

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 354/209,317/779,732/171

Given numbers are 354/209,317/779,732/171

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 354,317,732

Least Common Multiple of Numerators i.e. LCM of 354,317,732 is 13690596.

GCF of Denominators means GCF of 209,779,171 as per the given fractions.

GCF of 209,779,171 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,317,732

LCM of Fractions 354/209,317/779,732/171 is 13690596/19

2 354, 317, 732
3 177, 317, 366
59, 317, 122

∴ So the LCM of the given numbers is 2 x 3 x 59 x 317 x 122 = 13690596

Least Common Multiple of 354,317,732 with GCF Formula

Least Common Multiple of 354,317,732 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 354,317,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,317,732) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(354,317,732) x common factors =1 x 6 = 6

LCM(354,317,732) = ( 354 × 317 × 732 ) / 6

LCM(354,317,732) = 82143576 / 6

LCM(354,317,732) = 13690596


Lets's calculate GCF of 209,779,171

19 209, 779, 171
11, 41, 9

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13690596/19

Therefore the LCM of Fractions 354/209,317/779,732/171 is 13690596/19

Greatest Common Factor of 209,779,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,779,171 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 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 209,779,171 . The biggest common factor number is the GCF number.
So the greatest common factor 209,779,171 is 19.


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 354/209, 317/779, 732/171

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 354/209, 317/779, 732/171?

Answer: LCM of Numerators as per given numbers 354/209, 317/779, 732/171 is

LCM of Numerators i.e. for 354,317,732 is 13690596

GCF of denominators i.e. for 209,779,171 is 19.

Thus, LCM of Fractions is 13690596/19.Finally, LCM of Fractions for 354/209, 317/779, 732/171 is 13690596/19.