Least Common Multiple of 44/992, 404/159, 769/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/992, 404/159, 769/165 quickly i.e. 3417436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/992, 404/159, 769/165 is 3417436.

LCM(44/992, 404/159, 769/165) = 3417436

LCM of 44/992, 404/159, 769/165

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 44/992,404/159,769/165

Given numbers are 44/992,404/159,769/165

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 44,404,769

Least Common Multiple of Numerators i.e. LCM of 44,404,769 is 3417436.

GCF of Denominators means GCF of 992,159,165 as per the given fractions.

GCF of 992,159,165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,404,769

LCM of Fractions 44/992,404/159,769/165 is 3417436

2 44, 404, 769
2 22, 202, 769
11, 101, 769

∴ So the LCM of the given numbers is 2 x 2 x 11 x 101 x 769 = 3417436

Least Common Multiple of 44,404,769 with GCF Formula

Least Common Multiple of 44,404,769 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 44,404,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,404,769) = 1

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

GCF(44,404,769) x common factors =1 x 4 = 4

LCM(44,404,769) = ( 44 × 404 × 769 ) / 4

LCM(44,404,769) = 13669744 / 4

LCM(44,404,769) = 3417436


Lets's calculate GCF of 992,159,165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3417436/1

Therefore the LCM of Fractions 44/992,404/159,769/165 is 3417436

Greatest Common Factor of 992,159,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,159,165 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

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 992,159,165 . The biggest common factor number is the GCF number.
So the greatest common factor 992,159,165 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 44/992, 404/159, 769/165

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 44/992, 404/159, 769/165?

Answer: LCM of Numerators as per given numbers 44/992, 404/159, 769/165 is

LCM of Numerators i.e. for 44,404,769 is 3417436

GCF of denominators i.e. for 992,159,165 is 1.

Thus, LCM of Fractions is 3417436.Finally, LCM of Fractions for 44/992, 404/159, 769/165 is 3417436.