Least Common Multiple of 7566/690, 7830/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7566/690, 7830/644 quickly i.e. 9873630/46 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7566/690, 7830/644 is 9873630/46.

LCM(7566/690, 7830/644) = 9873630/46

LCM of 7566/690, 7830/644

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 7566/690,7830/644

Given numbers are 7566/690,7830/644

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 7566,7830

Least Common Multiple of Numerators i.e. LCM of 7566,7830 is 9873630.

GCF of Denominators means GCF of 690,644 as per the given fractions.

GCF of 690,644 is 46 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7566,7830

LCM of Fractions 7566/690,7830/644 is 9873630/46

2 7566, 7830
3 3783, 3915
1261, 1305

∴ So the LCM of the given numbers is 2 x 3 x 1261 x 1305 = 9873630

Least Common Multiple of 7566,7830 with GCF Formula

Least Common Multiple of 7566,7830 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 7566,7830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7566,7830) = 6

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

GCF(7566,7830) x common factors =6 x 1 = 6

LCM(7566,7830) = ( 7566 × 7830 ) / 6

LCM(7566,7830) = 59241780 / 6

LCM(7566,7830) = 9873630


Lets's calculate GCF of 690,644

2 690, 644
23 345, 322
15, 14

∴ So the GCF of the given numbers is 2 x 23 = 46

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9873630/46

Therefore the LCM of Fractions 7566/690,7830/644 is 9873630/46

Greatest Common Factor of 690,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,644 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 690,644 . The biggest common factor number is the GCF number.
So the greatest common factor 690,644 is 46.


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 7566/690, 7830/644

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 7566/690, 7830/644?

Answer: LCM of Numerators as per given numbers 7566/690, 7830/644 is

LCM of Numerators i.e. for 7566,7830 is 9873630

GCF of denominators i.e. for 690,644 is 46.

Thus, LCM of Fractions is 9873630/46.Finally, LCM of Fractions for 7566/690, 7830/644 is 9873630/46.