Least Common Multiple of 81/144, 95/492, 896/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/144, 95/492, 896/625 quickly i.e. 6894720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/144, 95/492, 896/625 is 6894720.

LCM(81/144, 95/492, 896/625) = 6894720

LCM of 81/144, 95/492, 896/625

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 81/144,95/492,896/625

Given numbers are 81/144,95/492,896/625

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 81,95,896

Least Common Multiple of Numerators i.e. LCM of 81,95,896 is 6894720.

GCF of Denominators means GCF of 144,492,625 as per the given fractions.

GCF of 144,492,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,95,896

LCM of Fractions 81/144,95/492,896/625 is 6894720

Given numbers has no common factors except 1. So, there LCM is their product i.e 6894720

Least Common Multiple of 81,95,896 with GCF Formula

Least Common Multiple of 81,95,896 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 81,95,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,95,896) = 1

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

GCF(81,95,896) x common factors =1 x 1 = 1

LCM(81,95,896) = ( 81 × 95 × 896 ) / 1

LCM(81,95,896) = 6894720 / 1

LCM(81,95,896) = 6894720


Lets's calculate GCF of 144,492,625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6894720/1

Therefore the LCM of Fractions 81/144,95/492,896/625 is 6894720

Greatest Common Factor of 144,492,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,492,625 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 144,492,625 . The biggest common factor number is the GCF number.
So the greatest common factor 144,492,625 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 81/144, 95/492, 896/625

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 81/144, 95/492, 896/625?

Answer: LCM of Numerators as per given numbers 81/144, 95/492, 896/625 is

LCM of Numerators i.e. for 81,95,896 is 6894720

GCF of denominators i.e. for 144,492,625 is 1.

Thus, LCM of Fractions is 6894720.Finally, LCM of Fractions for 81/144, 95/492, 896/625 is 6894720.