Least Common Multiple of 76/39, 999/90, 349/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/39, 999/90, 349/810 quickly i.e. 8832492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/39, 999/90, 349/810 is 8832492.

LCM(76/39, 999/90, 349/810) = 8832492

LCM of 76/39, 999/90, 349/810

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 76/39,999/90,349/810

Given numbers are 76/39,999/90,349/810

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 76,999,349

Least Common Multiple of Numerators i.e. LCM of 76,999,349 is 26497476.

GCF of Denominators means GCF of 39,90,810 as per the given fractions.

GCF of 39,90,810 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,999,349

LCM of Fractions 76/39,999/90,349/810 is 8832492

Given numbers has no common factors except 1. So, there LCM is their product i.e 26497476

Least Common Multiple of 76,999,349 with GCF Formula

Least Common Multiple of 76,999,349 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 76,999,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,999,349) = 1

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

GCF(76,999,349) x common factors =1 x 1 = 1

LCM(76,999,349) = ( 76 × 999 × 349 ) / 1

LCM(76,999,349) = 26497476 / 1

LCM(76,999,349) = 26497476


Lets's calculate GCF of 39,90,810

3 39, 90, 810
13, 30, 270

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26497476/3

Therefore the LCM of Fractions 76/39,999/90,349/810 is 8832492

Greatest Common Factor of 39,90,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,90,810 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

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

Greatest Common Factor

We found the factors 39,90,810 . The biggest common factor number is the GCF number.
So the greatest common factor 39,90,810 is 3.


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 76/39, 999/90, 349/810

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 76/39, 999/90, 349/810?

Answer: LCM of Numerators as per given numbers 76/39, 999/90, 349/810 is

LCM of Numerators i.e. for 76,999,349 is 26497476

GCF of denominators i.e. for 39,90,810 is 3.

Thus, LCM of Fractions is 8832492.Finally, LCM of Fractions for 76/39, 999/90, 349/810 is 8832492.