Least Common Multiple of 711/58, 224/5971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 711/58, 224/5971 quickly i.e. 159264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 711/58, 224/5971 is 159264.

LCM(711/58, 224/5971) = 159264

LCM of 711/58, 224/5971

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 711/58,224/5971

Given numbers are 711/58,224/5971

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 711,224

Least Common Multiple of Numerators i.e. LCM of 711,224 is 159264.

GCF of Denominators means GCF of 58,5971 as per the given fractions.

GCF of 58,5971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 711,224

LCM of Fractions 711/58,224/5971 is 159264

Given numbers has no common factors except 1. So, there LCM is their product i.e 159264

Least Common Multiple of 711,224 with GCF Formula

Least Common Multiple of 711,224 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 711,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,224) = 1

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

GCF(711,224) x common factors =1 x 1 = 1

LCM(711,224) = ( 711 × 224 ) / 1

LCM(711,224) = 159264 / 1

LCM(711,224) = 159264


Lets's calculate GCF of 58,5971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159264/1

Therefore the LCM of Fractions 711/58,224/5971 is 159264

Greatest Common Factor of 58,5971 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,5971 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 5971

List of positive integer factors of 5971 that divides 5971 without a remainder.

1,7,853,5971

Greatest Common Factor

We found the factors 58,5971 . The biggest common factor number is the GCF number.
So the greatest common factor 58,5971 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 711/58, 224/5971

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 711/58, 224/5971?

Answer: LCM of Numerators as per given numbers 711/58, 224/5971 is

LCM of Numerators i.e. for 711,224 is 159264

GCF of denominators i.e. for 58,5971 is 1.

Thus, LCM of Fractions is 159264.Finally, LCM of Fractions for 711/58, 224/5971 is 159264.