Least Common Multiple of 434/74, 706/89, 542/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 434/74, 706/89, 542/165 quickly i.e. 41517742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 434/74, 706/89, 542/165 is 41517742.

LCM(434/74, 706/89, 542/165) = 41517742

LCM of 434/74, 706/89, 542/165

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 434/74,706/89,542/165

Given numbers are 434/74,706/89,542/165

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 434,706,542

Least Common Multiple of Numerators i.e. LCM of 434,706,542 is 41517742.

GCF of Denominators means GCF of 74,89,165 as per the given fractions.

GCF of 74,89,165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 434,706,542

LCM of Fractions 434/74,706/89,542/165 is 41517742

2 434, 706, 542
217, 353, 271

∴ So the LCM of the given numbers is 2 x 217 x 353 x 271 = 41517742

Least Common Multiple of 434,706,542 with GCF Formula

Least Common Multiple of 434,706,542 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 434,706,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,706,542) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(434,706,542) x common factors =2 x 2 = 4

LCM(434,706,542) = ( 434 × 706 × 542 ) / 4

LCM(434,706,542) = 166070968 / 4

LCM(434,706,542) = 41517742


Lets's calculate GCF of 74,89,165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41517742/1

Therefore the LCM of Fractions 434/74,706/89,542/165 is 41517742

Greatest Common Factor of 74,89,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,89,165 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

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 74,89,165 . The biggest common factor number is the GCF number.
So the greatest common factor 74,89,165 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 434/74, 706/89, 542/165

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 434/74, 706/89, 542/165?

Answer: LCM of Numerators as per given numbers 434/74, 706/89, 542/165 is

LCM of Numerators i.e. for 434,706,542 is 41517742

GCF of denominators i.e. for 74,89,165 is 1.

Thus, LCM of Fractions is 41517742.Finally, LCM of Fractions for 434/74, 706/89, 542/165 is 41517742.