Least Common Multiple of 711/85, 915/9777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 711/85, 915/9777 quickly i.e. 216855 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 711/85, 915/9777 is 216855.

LCM(711/85, 915/9777) = 216855

LCM of 711/85, 915/9777

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 711/85,915/9777

Given numbers are 711/85,915/9777

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 711,915

Least Common Multiple of Numerators i.e. LCM of 711,915 is 216855.

GCF of Denominators means GCF of 85,9777 as per the given fractions.

GCF of 85,9777 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 711,915

LCM of Fractions 711/85,915/9777 is 216855

3 711, 915
237, 305

∴ So the LCM of the given numbers is 3 x 237 x 305 = 216855

Least Common Multiple of 711,915 with GCF Formula

Least Common Multiple of 711,915 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 711,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,915) = 3

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

GCF(711,915) x common factors =3 x 1 = 3

LCM(711,915) = ( 711 × 915 ) / 3

LCM(711,915) = 650565 / 3

LCM(711,915) = 216855


Lets's calculate GCF of 85,9777

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216855/1

Therefore the LCM of Fractions 711/85,915/9777 is 216855

Greatest Common Factor of 85,9777 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,9777 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 9777

List of positive integer factors of 9777 that divides 9777 without a remainder.

1,3,3259,9777

Greatest Common Factor

We found the factors 85,9777 . The biggest common factor number is the GCF number.
So the greatest common factor 85,9777 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 711/85, 915/9777

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 711/85, 915/9777?

Answer: LCM of Numerators as per given numbers 711/85, 915/9777 is

LCM of Numerators i.e. for 711,915 is 216855

GCF of denominators i.e. for 85,9777 is 1.

Thus, LCM of Fractions is 216855.Finally, LCM of Fractions for 711/85, 915/9777 is 216855.