Least Common Multiple of 684/521, 349/898, 349/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 684/521, 349/898, 349/165 quickly i.e. 238716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/521, 349/898, 349/165 is 238716.

LCM(684/521, 349/898, 349/165) = 238716

LCM of 684/521, 349/898, 349/165

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 684/521,349/898,349/165

Given numbers are 684/521,349/898,349/165

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 684,349,349

Least Common Multiple of Numerators i.e. LCM of 684,349,349 is 238716.

GCF of Denominators means GCF of 521,898,165 as per the given fractions.

GCF of 521,898,165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,349,349

LCM of Fractions 684/521,349/898,349/165 is 238716

349 684, 349, 349
684, 1, 1

∴ So the LCM of the given numbers is 349 x 684 x 1 x 1 = 238716

Least Common Multiple of 684,349,349 with GCF Formula

Least Common Multiple of 684,349,349 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 684,349,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,349,349) = 1

common factors(in case of two or more numbers have common factors) = 349

GCF(684,349,349) x common factors =1 x 349 = 349

LCM(684,349,349) = ( 684 × 349 × 349 ) / 349

LCM(684,349,349) = 83311884 / 349

LCM(684,349,349) = 238716


Lets's calculate GCF of 521,898,165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238716/1

Therefore the LCM of Fractions 684/521,349/898,349/165 is 238716

Greatest Common Factor of 521,898,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 521,898,165 By Matching Biggest Common Factor Method

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 521,898,165 . The biggest common factor number is the GCF number.
So the greatest common factor 521,898,165 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 684/521, 349/898, 349/165

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 684/521, 349/898, 349/165?

Answer: LCM of Numerators as per given numbers 684/521, 349/898, 349/165 is

LCM of Numerators i.e. for 684,349,349 is 238716

GCF of denominators i.e. for 521,898,165 is 1.

Thus, LCM of Fractions is 238716.Finally, LCM of Fractions for 684/521, 349/898, 349/165 is 238716.