Least Common Multiple of 684/165, 796/403, 389/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 684/165, 796/403, 389/946 quickly i.e. 52949124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/165, 796/403, 389/946 is 52949124.

LCM(684/165, 796/403, 389/946) = 52949124

LCM of 684/165, 796/403, 389/946

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 684/165,796/403,389/946

Given numbers are 684/165,796/403,389/946

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 684,796,389

Least Common Multiple of Numerators i.e. LCM of 684,796,389 is 52949124.

GCF of Denominators means GCF of 165,403,946 as per the given fractions.

GCF of 165,403,946 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,796,389

LCM of Fractions 684/165,796/403,389/946 is 52949124

2 684, 796, 389
2 342, 398, 389
171, 199, 389

∴ So the LCM of the given numbers is 2 x 2 x 171 x 199 x 389 = 52949124

Least Common Multiple of 684,796,389 with GCF Formula

Least Common Multiple of 684,796,389 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 684,796,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,796,389) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(684,796,389) x common factors =1 x 4 = 4

LCM(684,796,389) = ( 684 × 796 × 389 ) / 4

LCM(684,796,389) = 211796496 / 4

LCM(684,796,389) = 52949124


Lets's calculate GCF of 165,403,946

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52949124/1

Therefore the LCM of Fractions 684/165,796/403,389/946 is 52949124

Greatest Common Factor of 165,403,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,403,946 By Matching Biggest Common Factor Method

Factors of 165

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

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

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 165,403,946 . The biggest common factor number is the GCF number.
So the greatest common factor 165,403,946 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 684/165, 796/403, 389/946

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 684/165, 796/403, 389/946?

Answer: LCM of Numerators as per given numbers 684/165, 796/403, 389/946 is

LCM of Numerators i.e. for 684,796,389 is 52949124

GCF of denominators i.e. for 165,403,946 is 1.

Thus, LCM of Fractions is 52949124.Finally, LCM of Fractions for 684/165, 796/403, 389/946 is 52949124.