Least Common Multiple of 81/374, 18/289, 625/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/374, 18/289, 625/825 quickly i.e. 101250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/374, 18/289, 625/825 is 101250.

LCM(81/374, 18/289, 625/825) = 101250

LCM of 81/374, 18/289, 625/825

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 81/374,18/289,625/825

Given numbers are 81/374,18/289,625/825

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 81,18,625

Least Common Multiple of Numerators i.e. LCM of 81,18,625 is 101250.

GCF of Denominators means GCF of 374,289,825 as per the given fractions.

GCF of 374,289,825 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,18,625

LCM of Fractions 81/374,18/289,625/825 is 101250

3 81, 18, 625
3 27, 6, 625
9, 2, 625

∴ So the LCM of the given numbers is 3 x 3 x 9 x 2 x 625 = 101250

Least Common Multiple of 81,18,625 with GCF Formula

Least Common Multiple of 81,18,625 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 81,18,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,18,625) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(81,18,625) x common factors =1 x 9 = 9

LCM(81,18,625) = ( 81 × 18 × 625 ) / 9

LCM(81,18,625) = 911250 / 9

LCM(81,18,625) = 101250


Lets's calculate GCF of 374,289,825

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101250/1

Therefore the LCM of Fractions 81/374,18/289,625/825 is 101250

Greatest Common Factor of 374,289,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,289,825 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 374,289,825 . The biggest common factor number is the GCF number.
So the greatest common factor 374,289,825 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 81/374, 18/289, 625/825

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 81/374, 18/289, 625/825?

Answer: LCM of Numerators as per given numbers 81/374, 18/289, 625/825 is

LCM of Numerators i.e. for 81,18,625 is 101250

GCF of denominators i.e. for 374,289,825 is 1.

Thus, LCM of Fractions is 101250.Finally, LCM of Fractions for 81/374, 18/289, 625/825 is 101250.