Least Common Multiple of 99/810, 48/371, 581/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/810, 48/371, 581/743 quickly i.e. 920304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/810, 48/371, 581/743 is 920304.

LCM(99/810, 48/371, 581/743) = 920304

LCM of 99/810, 48/371, 581/743

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 99/810,48/371,581/743

Given numbers are 99/810,48/371,581/743

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 99,48,581

Least Common Multiple of Numerators i.e. LCM of 99,48,581 is 920304.

GCF of Denominators means GCF of 810,371,743 as per the given fractions.

GCF of 810,371,743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,48,581

LCM of Fractions 99/810,48/371,581/743 is 920304

3 99, 48, 581
33, 16, 581

∴ So the LCM of the given numbers is 3 x 33 x 16 x 581 = 920304

Least Common Multiple of 99,48,581 with GCF Formula

Least Common Multiple of 99,48,581 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 99,48,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,48,581) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(99,48,581) x common factors =1 x 3 = 3

LCM(99,48,581) = ( 99 × 48 × 581 ) / 3

LCM(99,48,581) = 2760912 / 3

LCM(99,48,581) = 920304


Lets's calculate GCF of 810,371,743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 920304/1

Therefore the LCM of Fractions 99/810,48/371,581/743 is 920304

Greatest Common Factor of 810,371,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,371,743 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 810,371,743 . The biggest common factor number is the GCF number.
So the greatest common factor 810,371,743 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 99/810, 48/371, 581/743

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 99/810, 48/371, 581/743?

Answer: LCM of Numerators as per given numbers 99/810, 48/371, 581/743 is

LCM of Numerators i.e. for 99,48,581 is 920304

GCF of denominators i.e. for 810,371,743 is 1.

Thus, LCM of Fractions is 920304.Finally, LCM of Fractions for 99/810, 48/371, 581/743 is 920304.