Least Common Multiple of 81/805, 300/59, 150/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/805, 300/59, 150/988 quickly i.e. 8100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/805, 300/59, 150/988 is 8100.

LCM(81/805, 300/59, 150/988) = 8100

LCM of 81/805, 300/59, 150/988

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 81/805,300/59,150/988

Given numbers are 81/805,300/59,150/988

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 81,300,150

Least Common Multiple of Numerators i.e. LCM of 81,300,150 is 8100.

GCF of Denominators means GCF of 805,59,988 as per the given fractions.

GCF of 805,59,988 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,300,150

LCM of Fractions 81/805,300/59,150/988 is 8100

2 81, 300, 150
3 81, 150, 75
5 27, 50, 25
5 27, 10, 5
27, 2, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 27 x 2 x 1 = 8100

Least Common Multiple of 81,300,150 with GCF Formula

Least Common Multiple of 81,300,150 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 81,300,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,300,150) = 3

common factors(in case of two or more numbers have common factors) = 150

GCF(81,300,150) x common factors =3 x 150 = 450

LCM(81,300,150) = ( 81 × 300 × 150 ) / 450

LCM(81,300,150) = 3645000 / 450

LCM(81,300,150) = 8100


Lets's calculate GCF of 805,59,988

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8100/1

Therefore the LCM of Fractions 81/805,300/59,150/988 is 8100

Greatest Common Factor of 805,59,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,59,988 By Matching Biggest Common Factor Method

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 805,59,988 . The biggest common factor number is the GCF number.
So the greatest common factor 805,59,988 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 81/805, 300/59, 150/988

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 81/805, 300/59, 150/988?

Answer: LCM of Numerators as per given numbers 81/805, 300/59, 150/988 is

LCM of Numerators i.e. for 81,300,150 is 8100

GCF of denominators i.e. for 805,59,988 is 1.

Thus, LCM of Fractions is 8100.Finally, LCM of Fractions for 81/805, 300/59, 150/988 is 8100.