Least Common Multiple of 5230/387, 7887/9828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5230/387, 7887/9828 quickly i.e. 41249010/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5230/387, 7887/9828 is 41249010/9.

LCM(5230/387, 7887/9828) = 41249010/9

LCM of 5230/387, 7887/9828

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 5230/387,7887/9828

Given numbers are 5230/387,7887/9828

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 5230,7887

Least Common Multiple of Numerators i.e. LCM of 5230,7887 is 41249010.

GCF of Denominators means GCF of 387,9828 as per the given fractions.

GCF of 387,9828 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5230,7887

LCM of Fractions 5230/387,7887/9828 is 41249010/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 41249010

Least Common Multiple of 5230,7887 with GCF Formula

Least Common Multiple of 5230,7887 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 5230,7887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5230,7887) = 1

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

GCF(5230,7887) x common factors =1 x 1 = 1

LCM(5230,7887) = ( 5230 × 7887 ) / 1

LCM(5230,7887) = 41249010 / 1

LCM(5230,7887) = 41249010


Lets's calculate GCF of 387,9828

3 387, 9828
3 129, 3276
43, 1092

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41249010/9

Therefore the LCM of Fractions 5230/387,7887/9828 is 41249010/9

Greatest Common Factor of 387,9828 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,9828 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 9828

List of positive integer factors of 9828 that divides 9828 without a remainder.

1,2,3,4,6,7,9,12,13,14,18,21,26,27,28,36,39,42,52,54,63,78,84,91,108,117,126,156,182,189,234,252,273,351,364,378,468,546,702,756,819,1092,1404,1638,2457,3276,4914,9828

Greatest Common Factor

We found the factors 387,9828 . The biggest common factor number is the GCF number.
So the greatest common factor 387,9828 is 9.


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 5230/387, 7887/9828

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 5230/387, 7887/9828?

Answer: LCM of Numerators as per given numbers 5230/387, 7887/9828 is

LCM of Numerators i.e. for 5230,7887 is 41249010

GCF of denominators i.e. for 387,9828 is 9.

Thus, LCM of Fractions is 41249010/9.Finally, LCM of Fractions for 5230/387, 7887/9828 is 41249010/9.