Least Common Multiple of 5619/526, 6990/8421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5619/526, 6990/8421 quickly i.e. 13092270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5619/526, 6990/8421 is 13092270.

LCM(5619/526, 6990/8421) = 13092270

LCM of 5619/526, 6990/8421

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 5619/526,6990/8421

Given numbers are 5619/526,6990/8421

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 5619,6990

Least Common Multiple of Numerators i.e. LCM of 5619,6990 is 13092270.

GCF of Denominators means GCF of 526,8421 as per the given fractions.

GCF of 526,8421 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5619,6990

LCM of Fractions 5619/526,6990/8421 is 13092270

3 5619, 6990
1873, 2330

∴ So the LCM of the given numbers is 3 x 1873 x 2330 = 13092270

Least Common Multiple of 5619,6990 with GCF Formula

Least Common Multiple of 5619,6990 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 5619,6990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5619,6990) = 3

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

GCF(5619,6990) x common factors =3 x 1 = 3

LCM(5619,6990) = ( 5619 × 6990 ) / 3

LCM(5619,6990) = 39276810 / 3

LCM(5619,6990) = 13092270


Lets's calculate GCF of 526,8421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13092270/1

Therefore the LCM of Fractions 5619/526,6990/8421 is 13092270

Greatest Common Factor of 526,8421 By Matching Biggest Common Factor Method

Greatest Common Factor of 526,8421 By Matching Biggest Common Factor Method

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 8421

List of positive integer factors of 8421 that divides 8421 without a remainder.

1,3,7,21,401,1203,2807,8421

Greatest Common Factor

We found the factors 526,8421 . The biggest common factor number is the GCF number.
So the greatest common factor 526,8421 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 5619/526, 6990/8421

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 5619/526, 6990/8421?

Answer: LCM of Numerators as per given numbers 5619/526, 6990/8421 is

LCM of Numerators i.e. for 5619,6990 is 13092270

GCF of denominators i.e. for 526,8421 is 1.

Thus, LCM of Fractions is 13092270.Finally, LCM of Fractions for 5619/526, 6990/8421 is 13092270.