Least Common Multiple of 7818/990, 8140/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7818/990, 8140/625 quickly i.e. 6363852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7818/990, 8140/625 is 6363852.

LCM(7818/990, 8140/625) = 6363852

LCM of 7818/990, 8140/625

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 7818/990,8140/625

Given numbers are 7818/990,8140/625

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 7818,8140

Least Common Multiple of Numerators i.e. LCM of 7818,8140 is 31819260.

GCF of Denominators means GCF of 990,625 as per the given fractions.

GCF of 990,625 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7818,8140

LCM of Fractions 7818/990,8140/625 is 6363852

2 7818, 8140
3909, 4070

∴ So the LCM of the given numbers is 2 x 3909 x 4070 = 31819260

Least Common Multiple of 7818,8140 with GCF Formula

Least Common Multiple of 7818,8140 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 7818,8140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7818,8140) = 2

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

GCF(7818,8140) x common factors =2 x 1 = 2

LCM(7818,8140) = ( 7818 × 8140 ) / 2

LCM(7818,8140) = 63638520 / 2

LCM(7818,8140) = 31819260


Lets's calculate GCF of 990,625

5 990, 625
198, 125

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31819260/5

Therefore the LCM of Fractions 7818/990,8140/625 is 6363852

Greatest Common Factor of 990,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,625 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 990,625 . The biggest common factor number is the GCF number.
So the greatest common factor 990,625 is 5.


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 7818/990, 8140/625

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 7818/990, 8140/625?

Answer: LCM of Numerators as per given numbers 7818/990, 8140/625 is

LCM of Numerators i.e. for 7818,8140 is 31819260

GCF of denominators i.e. for 990,625 is 5.

Thus, LCM of Fractions is 6363852.Finally, LCM of Fractions for 7818/990, 8140/625 is 6363852.