Least Common Multiple of 432/42, 494/7165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 432/42, 494/7165 quickly i.e. 106704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 432/42, 494/7165 is 106704.

LCM(432/42, 494/7165) = 106704

LCM of 432/42, 494/7165

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 432/42,494/7165

Given numbers are 432/42,494/7165

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 432,494

Least Common Multiple of Numerators i.e. LCM of 432,494 is 106704.

GCF of Denominators means GCF of 42,7165 as per the given fractions.

GCF of 42,7165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 432,494

LCM of Fractions 432/42,494/7165 is 106704

2 432, 494
216, 247

∴ So the LCM of the given numbers is 2 x 216 x 247 = 106704

Least Common Multiple of 432,494 with GCF Formula

Least Common Multiple of 432,494 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 432,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,494) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(432,494) x common factors =2 x 1 = 2

LCM(432,494) = ( 432 × 494 ) / 2

LCM(432,494) = 213408 / 2

LCM(432,494) = 106704


Lets's calculate GCF of 42,7165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106704/1

Therefore the LCM of Fractions 432/42,494/7165 is 106704

Greatest Common Factor of 42,7165 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,7165 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 7165

List of positive integer factors of 7165 that divides 7165 without a remainder.

1,5,1433,7165

Greatest Common Factor

We found the factors 42,7165 . The biggest common factor number is the GCF number.
So the greatest common factor 42,7165 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 432/42, 494/7165

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 432/42, 494/7165?

Answer: LCM of Numerators as per given numbers 432/42, 494/7165 is

LCM of Numerators i.e. for 432,494 is 106704

GCF of denominators i.e. for 42,7165 is 1.

Thus, LCM of Fractions is 106704.Finally, LCM of Fractions for 432/42, 494/7165 is 106704.