Least Common Multiple of 272/68, 151/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 272/68, 151/494 quickly i.e. 20536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 272/68, 151/494 is 20536.

LCM(272/68, 151/494) = 20536

LCM of 272/68, 151/494

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 272/68,151/494

Given numbers are 272/68,151/494

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 272,151

Least Common Multiple of Numerators i.e. LCM of 272,151 is 41072.

GCF of Denominators means GCF of 68,494 as per the given fractions.

GCF of 68,494 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 272,151

LCM of Fractions 272/68,151/494 is 20536

Given numbers has no common factors except 1. So, there LCM is their product i.e 41072

Least Common Multiple of 272,151 with GCF Formula

Least Common Multiple of 272,151 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 272,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,151) = 1

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

GCF(272,151) x common factors =1 x 1 = 1

LCM(272,151) = ( 272 × 151 ) / 1

LCM(272,151) = 41072 / 1

LCM(272,151) = 41072


Lets's calculate GCF of 68,494

2 68, 494
34, 247

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41072/2

Therefore the LCM of Fractions 272/68,151/494 is 20536

Greatest Common Factor of 68,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,494 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 68,494 . The biggest common factor number is the GCF number.
So the greatest common factor 68,494 is 2.


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 272/68, 151/494

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 272/68, 151/494?

Answer: LCM of Numerators as per given numbers 272/68, 151/494 is

LCM of Numerators i.e. for 272,151 is 41072

GCF of denominators i.e. for 68,494 is 2.

Thus, LCM of Fractions is 20536.Finally, LCM of Fractions for 272/68, 151/494 is 20536.