Least Common Multiple of 711/89, 215/2959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 711/89, 215/2959 quickly i.e. 152865 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 711/89, 215/2959 is 152865.

LCM(711/89, 215/2959) = 152865

LCM of 711/89, 215/2959

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 711/89,215/2959

Given numbers are 711/89,215/2959

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 711,215

Least Common Multiple of Numerators i.e. LCM of 711,215 is 152865.

GCF of Denominators means GCF of 89,2959 as per the given fractions.

GCF of 89,2959 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 711,215

LCM of Fractions 711/89,215/2959 is 152865

Given numbers has no common factors except 1. So, there LCM is their product i.e 152865

Least Common Multiple of 711,215 with GCF Formula

Least Common Multiple of 711,215 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 711,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,215) = 1

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

GCF(711,215) x common factors =1 x 1 = 1

LCM(711,215) = ( 711 × 215 ) / 1

LCM(711,215) = 152865 / 1

LCM(711,215) = 152865


Lets's calculate GCF of 89,2959

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152865/1

Therefore the LCM of Fractions 711/89,215/2959 is 152865

Greatest Common Factor of 89,2959 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,2959 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 2959

List of positive integer factors of 2959 that divides 2959 without a remainder.

1,11,269,2959

Greatest Common Factor

We found the factors 89,2959 . The biggest common factor number is the GCF number.
So the greatest common factor 89,2959 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 711/89, 215/2959

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 711/89, 215/2959?

Answer: LCM of Numerators as per given numbers 711/89, 215/2959 is

LCM of Numerators i.e. for 711,215 is 152865

GCF of denominators i.e. for 89,2959 is 1.

Thus, LCM of Fractions is 152865.Finally, LCM of Fractions for 711/89, 215/2959 is 152865.