Least Common Multiple of 5427/987, 5771/9960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5427/987, 5771/9960 quickly i.e. 10439739 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5427/987, 5771/9960 is 10439739.

LCM(5427/987, 5771/9960) = 10439739

LCM of 5427/987, 5771/9960

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 5427/987,5771/9960

Given numbers are 5427/987,5771/9960

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 5427,5771

Least Common Multiple of Numerators i.e. LCM of 5427,5771 is 31319217.

GCF of Denominators means GCF of 987,9960 as per the given fractions.

GCF of 987,9960 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5427,5771

LCM of Fractions 5427/987,5771/9960 is 10439739

Given numbers has no common factors except 1. So, there LCM is their product i.e 31319217

Least Common Multiple of 5427,5771 with GCF Formula

Least Common Multiple of 5427,5771 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 5427,5771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5427,5771) = 1

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

GCF(5427,5771) x common factors =1 x 1 = 1

LCM(5427,5771) = ( 5427 × 5771 ) / 1

LCM(5427,5771) = 31319217 / 1

LCM(5427,5771) = 31319217


Lets's calculate GCF of 987,9960

3 987, 9960
329, 3320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31319217/3

Therefore the LCM of Fractions 5427/987,5771/9960 is 10439739

Greatest Common Factor of 987,9960 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,9960 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 9960

List of positive integer factors of 9960 that divides 9960 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,83,120,166,249,332,415,498,664,830,996,1245,1660,1992,2490,3320,4980,9960

Greatest Common Factor

We found the factors 987,9960 . The biggest common factor number is the GCF number.
So the greatest common factor 987,9960 is 3.


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 5427/987, 5771/9960

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 5427/987, 5771/9960?

Answer: LCM of Numerators as per given numbers 5427/987, 5771/9960 is

LCM of Numerators i.e. for 5427,5771 is 31319217

GCF of denominators i.e. for 987,9960 is 3.

Thus, LCM of Fractions is 10439739.Finally, LCM of Fractions for 5427/987, 5771/9960 is 10439739.