Least Common Multiple of 8877/560, 5628/3987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8877/560, 5628/3987 quickly i.e. 16653252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8877/560, 5628/3987 is 16653252.

LCM(8877/560, 5628/3987) = 16653252

LCM of 8877/560, 5628/3987

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 8877/560,5628/3987

Given numbers are 8877/560,5628/3987

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 8877,5628

Least Common Multiple of Numerators i.e. LCM of 8877,5628 is 16653252.

GCF of Denominators means GCF of 560,3987 as per the given fractions.

GCF of 560,3987 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8877,5628

LCM of Fractions 8877/560,5628/3987 is 16653252

3 8877, 5628
2959, 1876

∴ So the LCM of the given numbers is 3 x 2959 x 1876 = 16653252

Least Common Multiple of 8877,5628 with GCF Formula

Least Common Multiple of 8877,5628 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 8877,5628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8877,5628) = 3

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

GCF(8877,5628) x common factors =3 x 1 = 3

LCM(8877,5628) = ( 8877 × 5628 ) / 3

LCM(8877,5628) = 49959756 / 3

LCM(8877,5628) = 16653252


Lets's calculate GCF of 560,3987

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16653252/1

Therefore the LCM of Fractions 8877/560,5628/3987 is 16653252

Greatest Common Factor of 560,3987 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,3987 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 3987

List of positive integer factors of 3987 that divides 3987 without a remainder.

1,3,9,443,1329,3987

Greatest Common Factor

We found the factors 560,3987 . The biggest common factor number is the GCF number.
So the greatest common factor 560,3987 is 1.


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 8877/560, 5628/3987

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 8877/560, 5628/3987?

Answer: LCM of Numerators as per given numbers 8877/560, 5628/3987 is

LCM of Numerators i.e. for 8877,5628 is 16653252

GCF of denominators i.e. for 560,3987 is 1.

Thus, LCM of Fractions is 16653252.Finally, LCM of Fractions for 8877/560, 5628/3987 is 16653252.