Least Common Multiple of 42/272, 289/255, 501/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/272, 289/255, 501/392 quickly i.e. 2027046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/272, 289/255, 501/392 is 2027046.

LCM(42/272, 289/255, 501/392) = 2027046

LCM of 42/272, 289/255, 501/392

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 42/272,289/255,501/392

Given numbers are 42/272,289/255,501/392

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 42,289,501

Least Common Multiple of Numerators i.e. LCM of 42,289,501 is 2027046.

GCF of Denominators means GCF of 272,255,392 as per the given fractions.

GCF of 272,255,392 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,289,501

LCM of Fractions 42/272,289/255,501/392 is 2027046

3 42, 289, 501
14, 289, 167

∴ So the LCM of the given numbers is 3 x 14 x 289 x 167 = 2027046

Least Common Multiple of 42,289,501 with GCF Formula

Least Common Multiple of 42,289,501 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 42,289,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,289,501) = 1

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

GCF(42,289,501) x common factors =1 x 3 = 3

LCM(42,289,501) = ( 42 × 289 × 501 ) / 3

LCM(42,289,501) = 6081138 / 3

LCM(42,289,501) = 2027046


Lets's calculate GCF of 272,255,392

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2027046/1

Therefore the LCM of Fractions 42/272,289/255,501/392 is 2027046

Greatest Common Factor of 272,255,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,255,392 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 272,255,392 . The biggest common factor number is the GCF number.
So the greatest common factor 272,255,392 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 42/272, 289/255, 501/392

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 42/272, 289/255, 501/392?

Answer: LCM of Numerators as per given numbers 42/272, 289/255, 501/392 is

LCM of Numerators i.e. for 42,289,501 is 2027046

GCF of denominators i.e. for 272,255,392 is 1.

Thus, LCM of Fractions is 2027046.Finally, LCM of Fractions for 42/272, 289/255, 501/392 is 2027046.