Least Common Multiple of 76/920, 18/388, 426/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/920, 18/388, 426/165 quickly i.e. 48564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/920, 18/388, 426/165 is 48564.

LCM(76/920, 18/388, 426/165) = 48564

LCM of 76/920, 18/388, 426/165

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 76/920,18/388,426/165

Given numbers are 76/920,18/388,426/165

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 76,18,426

Least Common Multiple of Numerators i.e. LCM of 76,18,426 is 48564.

GCF of Denominators means GCF of 920,388,165 as per the given fractions.

GCF of 920,388,165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,18,426

LCM of Fractions 76/920,18/388,426/165 is 48564

2 76, 18, 426
3 38, 9, 213
38, 3, 71

∴ So the LCM of the given numbers is 2 x 3 x 38 x 3 x 71 = 48564

Least Common Multiple of 76,18,426 with GCF Formula

Least Common Multiple of 76,18,426 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 76,18,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,18,426) = 2

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

GCF(76,18,426) x common factors =2 x 6 = 12

LCM(76,18,426) = ( 76 × 18 × 426 ) / 12

LCM(76,18,426) = 582768 / 12

LCM(76,18,426) = 48564


Lets's calculate GCF of 920,388,165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48564/1

Therefore the LCM of Fractions 76/920,18/388,426/165 is 48564

Greatest Common Factor of 920,388,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,388,165 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

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 920,388,165 . The biggest common factor number is the GCF number.
So the greatest common factor 920,388,165 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 76/920, 18/388, 426/165

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 76/920, 18/388, 426/165?

Answer: LCM of Numerators as per given numbers 76/920, 18/388, 426/165 is

LCM of Numerators i.e. for 76,18,426 is 48564

GCF of denominators i.e. for 920,388,165 is 1.

Thus, LCM of Fractions is 48564.Finally, LCM of Fractions for 76/920, 18/388, 426/165 is 48564.