Least Common Multiple of 40/797, 92/874, 158/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/797, 92/874, 158/165 quickly i.e. 72680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/797, 92/874, 158/165 is 72680.

LCM(40/797, 92/874, 158/165) = 72680

LCM of 40/797, 92/874, 158/165

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 40/797,92/874,158/165

Given numbers are 40/797,92/874,158/165

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 40,92,158

Least Common Multiple of Numerators i.e. LCM of 40,92,158 is 72680.

GCF of Denominators means GCF of 797,874,165 as per the given fractions.

GCF of 797,874,165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,92,158

LCM of Fractions 40/797,92/874,158/165 is 72680

2 40, 92, 158
2 20, 46, 79
10, 23, 79

∴ So the LCM of the given numbers is 2 x 2 x 10 x 23 x 79 = 72680

Least Common Multiple of 40,92,158 with GCF Formula

Least Common Multiple of 40,92,158 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 40,92,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,92,158) = 2

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

GCF(40,92,158) x common factors =2 x 4 = 8

LCM(40,92,158) = ( 40 × 92 × 158 ) / 8

LCM(40,92,158) = 581440 / 8

LCM(40,92,158) = 72680


Lets's calculate GCF of 797,874,165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72680/1

Therefore the LCM of Fractions 40/797,92/874,158/165 is 72680

Greatest Common Factor of 797,874,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 797,874,165 By Matching Biggest Common Factor Method

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

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 797,874,165 . The biggest common factor number is the GCF number.
So the greatest common factor 797,874,165 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 40/797, 92/874, 158/165

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 40/797, 92/874, 158/165?

Answer: LCM of Numerators as per given numbers 40/797, 92/874, 158/165 is

LCM of Numerators i.e. for 40,92,158 is 72680

GCF of denominators i.e. for 797,874,165 is 1.

Thus, LCM of Fractions is 72680.Finally, LCM of Fractions for 40/797, 92/874, 158/165 is 72680.