Least Common Multiple of 7887/561, 6390/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7887/561, 6390/630 quickly i.e. 5599770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7887/561, 6390/630 is 5599770.

LCM(7887/561, 6390/630) = 5599770

LCM of 7887/561, 6390/630

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 7887/561,6390/630

Given numbers are 7887/561,6390/630

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 7887,6390

Least Common Multiple of Numerators i.e. LCM of 7887,6390 is 16799310.

GCF of Denominators means GCF of 561,630 as per the given fractions.

GCF of 561,630 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7887,6390

LCM of Fractions 7887/561,6390/630 is 5599770

3 7887, 6390
2629, 2130

∴ So the LCM of the given numbers is 3 x 2629 x 2130 = 16799310

Least Common Multiple of 7887,6390 with GCF Formula

Least Common Multiple of 7887,6390 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 7887,6390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7887,6390) = 3

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

GCF(7887,6390) x common factors =3 x 1 = 3

LCM(7887,6390) = ( 7887 × 6390 ) / 3

LCM(7887,6390) = 50397930 / 3

LCM(7887,6390) = 16799310


Lets's calculate GCF of 561,630

3 561, 630
187, 210

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16799310/3

Therefore the LCM of Fractions 7887/561,6390/630 is 5599770

Greatest Common Factor of 561,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,630 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 561,630 . The biggest common factor number is the GCF number.
So the greatest common factor 561,630 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7887/561, 6390/630

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 7887/561, 6390/630?

Answer: LCM of Numerators as per given numbers 7887/561, 6390/630 is

LCM of Numerators i.e. for 7887,6390 is 16799310

GCF of denominators i.e. for 561,630 is 3.

Thus, LCM of Fractions is 5599770.Finally, LCM of Fractions for 7887/561, 6390/630 is 5599770.