Least Common Multiple of 86/735, 9761/6801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/735, 9761/6801 quickly i.e. 19522/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/735, 9761/6801 is 19522/3.

LCM(86/735, 9761/6801) = 19522/3

LCM of 86/735, 9761/6801

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 86/735,9761/6801

Given numbers are 86/735,9761/6801

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 86,9761

Least Common Multiple of Numerators i.e. LCM of 86,9761 is 19522.

GCF of Denominators means GCF of 735,6801 as per the given fractions.

GCF of 735,6801 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,9761

LCM of Fractions 86/735,9761/6801 is 19522/3

43 86, 9761
2, 227

∴ So the LCM of the given numbers is 43 x 2 x 227 = 19522

Least Common Multiple of 86,9761 with GCF Formula

Least Common Multiple of 86,9761 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 86,9761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,9761) = 43

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

GCF(86,9761) x common factors =43 x 1 = 43

LCM(86,9761) = ( 86 × 9761 ) / 43

LCM(86,9761) = 839446 / 43

LCM(86,9761) = 19522


Lets's calculate GCF of 735,6801

3 735, 6801
245, 2267

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19522/3

Therefore the LCM of Fractions 86/735,9761/6801 is 19522/3

Greatest Common Factor of 735,6801 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,6801 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 6801

List of positive integer factors of 6801 that divides 6801 without a remainder.

1,3,2267,6801

Greatest Common Factor

We found the factors 735,6801 . The biggest common factor number is the GCF number.
So the greatest common factor 735,6801 is 3.


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 86/735, 9761/6801

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 86/735, 9761/6801?

Answer: LCM of Numerators as per given numbers 86/735, 9761/6801 is

LCM of Numerators i.e. for 86,9761 is 19522

GCF of denominators i.e. for 735,6801 is 3.

Thus, LCM of Fractions is 19522/3.Finally, LCM of Fractions for 86/735, 9761/6801 is 19522/3.