Least Common Multiple of 491/28, 171/1201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 491/28, 171/1201 quickly i.e. 83961 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 491/28, 171/1201 is 83961.

LCM(491/28, 171/1201) = 83961

LCM of 491/28, 171/1201

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 491/28,171/1201

Given numbers are 491/28,171/1201

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 491,171

Least Common Multiple of Numerators i.e. LCM of 491,171 is 83961.

GCF of Denominators means GCF of 28,1201 as per the given fractions.

GCF of 28,1201 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 491,171

LCM of Fractions 491/28,171/1201 is 83961

Given numbers has no common factors except 1. So, there LCM is their product i.e 83961

Least Common Multiple of 491,171 with GCF Formula

Least Common Multiple of 491,171 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 491,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,171) = 1

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

GCF(491,171) x common factors =1 x 1 = 1

LCM(491,171) = ( 491 × 171 ) / 1

LCM(491,171) = 83961 / 1

LCM(491,171) = 83961


Lets's calculate GCF of 28,1201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83961/1

Therefore the LCM of Fractions 491/28,171/1201 is 83961

Greatest Common Factor of 28,1201 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,1201 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 1201

List of positive integer factors of 1201 that divides 1201 without a remainder.

1,1201

Greatest Common Factor

We found the factors 28,1201 . The biggest common factor number is the GCF number.
So the greatest common factor 28,1201 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 491/28, 171/1201

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 491/28, 171/1201?

Answer: LCM of Numerators as per given numbers 491/28, 171/1201 is

LCM of Numerators i.e. for 491,171 is 83961

GCF of denominators i.e. for 28,1201 is 1.

Thus, LCM of Fractions is 83961.Finally, LCM of Fractions for 491/28, 171/1201 is 83961.