Least Common Multiple of 427/81, 288/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 427/81, 288/702 quickly i.e. 122976/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 427/81, 288/702 is 122976/27.

LCM(427/81, 288/702) = 122976/27

LCM of 427/81, 288/702

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 427/81,288/702

Given numbers are 427/81,288/702

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 427,288

Least Common Multiple of Numerators i.e. LCM of 427,288 is 122976.

GCF of Denominators means GCF of 81,702 as per the given fractions.

GCF of 81,702 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 427,288

LCM of Fractions 427/81,288/702 is 122976/27

Given numbers has no common factors except 1. So, there LCM is their product i.e 122976

Least Common Multiple of 427,288 with GCF Formula

Least Common Multiple of 427,288 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 427,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,288) = 1

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

GCF(427,288) x common factors =1 x 1 = 1

LCM(427,288) = ( 427 × 288 ) / 1

LCM(427,288) = 122976 / 1

LCM(427,288) = 122976


Lets's calculate GCF of 81,702

3 81, 702
3 27, 234
3 9, 78
3, 26

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122976/27

Therefore the LCM of Fractions 427/81,288/702 is 122976/27

Greatest Common Factor of 81,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,702 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 81,702 . The biggest common factor number is the GCF number.
So the greatest common factor 81,702 is 27.


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 427/81, 288/702

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 427/81, 288/702?

Answer: LCM of Numerators as per given numbers 427/81, 288/702 is

LCM of Numerators i.e. for 427,288 is 122976

GCF of denominators i.e. for 81,702 is 27.

Thus, LCM of Fractions is 122976/27.Finally, LCM of Fractions for 427/81, 288/702 is 122976/27.