Least Common Multiple of 501/71, 909/85, 418/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 501/71, 909/85, 418/335 quickly i.e. 63453654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 501/71, 909/85, 418/335 is 63453654.

LCM(501/71, 909/85, 418/335) = 63453654

LCM of 501/71, 909/85, 418/335

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 501/71,909/85,418/335

Given numbers are 501/71,909/85,418/335

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 501,909,418

Least Common Multiple of Numerators i.e. LCM of 501,909,418 is 63453654.

GCF of Denominators means GCF of 71,85,335 as per the given fractions.

GCF of 71,85,335 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 501,909,418

LCM of Fractions 501/71,909/85,418/335 is 63453654

3 501, 909, 418
167, 303, 418

∴ So the LCM of the given numbers is 3 x 167 x 303 x 418 = 63453654

Least Common Multiple of 501,909,418 with GCF Formula

Least Common Multiple of 501,909,418 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 501,909,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,909,418) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(501,909,418) x common factors =1 x 3 = 3

LCM(501,909,418) = ( 501 × 909 × 418 ) / 3

LCM(501,909,418) = 190360962 / 3

LCM(501,909,418) = 63453654


Lets's calculate GCF of 71,85,335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63453654/1

Therefore the LCM of Fractions 501/71,909/85,418/335 is 63453654

Greatest Common Factor of 71,85,335 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,85,335 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Greatest Common Factor

We found the factors 71,85,335 . The biggest common factor number is the GCF number.
So the greatest common factor 71,85,335 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 501/71, 909/85, 418/335

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 501/71, 909/85, 418/335?

Answer: LCM of Numerators as per given numbers 501/71, 909/85, 418/335 is

LCM of Numerators i.e. for 501,909,418 is 63453654

GCF of denominators i.e. for 71,85,335 is 1.

Thus, LCM of Fractions is 63453654.Finally, LCM of Fractions for 501/71, 909/85, 418/335 is 63453654.