Least Common Multiple of 81/162, 81/235, 755/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/162, 81/235, 755/788 quickly i.e. 61155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/162, 81/235, 755/788 is 61155.

LCM(81/162, 81/235, 755/788) = 61155

LCM of 81/162, 81/235, 755/788

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 81/162,81/235,755/788

Given numbers are 81/162,81/235,755/788

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 81,81,755

Least Common Multiple of Numerators i.e. LCM of 81,81,755 is 61155.

GCF of Denominators means GCF of 162,235,788 as per the given fractions.

GCF of 162,235,788 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,81,755

LCM of Fractions 81/162,81/235,755/788 is 61155

3 81, 81, 755
3 27, 27, 755
3 9, 9, 755
3 3, 3, 755
1, 1, 755

∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 1 x 1 x 755 = 61155

Least Common Multiple of 81,81,755 with GCF Formula

Least Common Multiple of 81,81,755 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 81,81,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,81,755) = 1

common factors(in case of two or more numbers have common factors) = 81

GCF(81,81,755) x common factors =1 x 81 = 81

LCM(81,81,755) = ( 81 × 81 × 755 ) / 81

LCM(81,81,755) = 4953555 / 81

LCM(81,81,755) = 61155


Lets's calculate GCF of 162,235,788

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61155/1

Therefore the LCM of Fractions 81/162,81/235,755/788 is 61155

Greatest Common Factor of 162,235,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,235,788 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 162,235,788 . The biggest common factor number is the GCF number.
So the greatest common factor 162,235,788 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 81/162, 81/235, 755/788

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 81/162, 81/235, 755/788?

Answer: LCM of Numerators as per given numbers 81/162, 81/235, 755/788 is

LCM of Numerators i.e. for 81,81,755 is 61155

GCF of denominators i.e. for 162,235,788 is 1.

Thus, LCM of Fractions is 61155.Finally, LCM of Fractions for 81/162, 81/235, 755/788 is 61155.