Least Common Multiple of 142/495, 909/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 142/495, 909/418 quickly i.e. 129078/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/495, 909/418 is 129078/11.

LCM(142/495, 909/418) = 129078/11

LCM of 142/495, 909/418

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 142/495,909/418

Given numbers are 142/495,909/418

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 142,909

Least Common Multiple of Numerators i.e. LCM of 142,909 is 129078.

GCF of Denominators means GCF of 495,418 as per the given fractions.

GCF of 495,418 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,909

LCM of Fractions 142/495,909/418 is 129078/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 129078

Least Common Multiple of 142,909 with GCF Formula

Least Common Multiple of 142,909 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 142,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,909) = 1

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

GCF(142,909) x common factors =1 x 1 = 1

LCM(142,909) = ( 142 × 909 ) / 1

LCM(142,909) = 129078 / 1

LCM(142,909) = 129078


Lets's calculate GCF of 495,418

11 495, 418
45, 38

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129078/11

Therefore the LCM of Fractions 142/495,909/418 is 129078/11

Greatest Common Factor of 495,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,418 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 495,418 . The biggest common factor number is the GCF number.
So the greatest common factor 495,418 is 11.


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 142/495, 909/418

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 142/495, 909/418?

Answer: LCM of Numerators as per given numbers 142/495, 909/418 is

LCM of Numerators i.e. for 142,909 is 129078

GCF of denominators i.e. for 495,418 is 11.

Thus, LCM of Fractions is 129078/11.Finally, LCM of Fractions for 142/495, 909/418 is 129078/11.