Least Common Multiple of 7789/140, 7812/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7789/140, 7812/828 quickly i.e. 15211917 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7789/140, 7812/828 is 15211917.

LCM(7789/140, 7812/828) = 15211917

LCM of 7789/140, 7812/828

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 7789/140,7812/828

Given numbers are 7789/140,7812/828

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 7789,7812

Least Common Multiple of Numerators i.e. LCM of 7789,7812 is 60847668.

GCF of Denominators means GCF of 140,828 as per the given fractions.

GCF of 140,828 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7789,7812

LCM of Fractions 7789/140,7812/828 is 15211917

Given numbers has no common factors except 1. So, there LCM is their product i.e 60847668

Least Common Multiple of 7789,7812 with GCF Formula

Least Common Multiple of 7789,7812 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 7789,7812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7789,7812) = 1

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

GCF(7789,7812) x common factors =1 x 1 = 1

LCM(7789,7812) = ( 7789 × 7812 ) / 1

LCM(7789,7812) = 60847668 / 1

LCM(7789,7812) = 60847668


Lets's calculate GCF of 140,828

2 140, 828
2 70, 414
35, 207

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60847668/4

Therefore the LCM of Fractions 7789/140,7812/828 is 15211917

Greatest Common Factor of 140,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,828 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 140,828 . The biggest common factor number is the GCF number.
So the greatest common factor 140,828 is 4.


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 7789/140, 7812/828

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 7789/140, 7812/828?

Answer: LCM of Numerators as per given numbers 7789/140, 7812/828 is

LCM of Numerators i.e. for 7789,7812 is 60847668

GCF of denominators i.e. for 140,828 is 4.

Thus, LCM of Fractions is 15211917.Finally, LCM of Fractions for 7789/140, 7812/828 is 15211917.