Least Common Multiple of 41/68, 85/771, 709/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/68, 85/771, 709/866 quickly i.e. 2470865 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/68, 85/771, 709/866 is 2470865.

LCM(41/68, 85/771, 709/866) = 2470865

LCM of 41/68, 85/771, 709/866

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 41/68,85/771,709/866

Given numbers are 41/68,85/771,709/866

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 41,85,709

Least Common Multiple of Numerators i.e. LCM of 41,85,709 is 2470865.

GCF of Denominators means GCF of 68,771,866 as per the given fractions.

GCF of 68,771,866 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,85,709

LCM of Fractions 41/68,85/771,709/866 is 2470865

Given numbers has no common factors except 1. So, there LCM is their product i.e 2470865

Least Common Multiple of 41,85,709 with GCF Formula

Least Common Multiple of 41,85,709 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 41,85,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,85,709) = 1

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

GCF(41,85,709) x common factors =1 x 1 = 1

LCM(41,85,709) = ( 41 × 85 × 709 ) / 1

LCM(41,85,709) = 2470865 / 1

LCM(41,85,709) = 2470865


Lets's calculate GCF of 68,771,866

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2470865/1

Therefore the LCM of Fractions 41/68,85/771,709/866 is 2470865

Greatest Common Factor of 68,771,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,771,866 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 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 68,771,866 . The biggest common factor number is the GCF number.
So the greatest common factor 68,771,866 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 41/68, 85/771, 709/866

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 41/68, 85/771, 709/866?

Answer: LCM of Numerators as per given numbers 41/68, 85/771, 709/866 is

LCM of Numerators i.e. for 41,85,709 is 2470865

GCF of denominators i.e. for 68,771,866 is 1.

Thus, LCM of Fractions is 2470865.Finally, LCM of Fractions for 41/68, 85/771, 709/866 is 2470865.