Least Common Multiple of 6753/552, 8784/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6753/552, 8784/805 quickly i.e. 19772784/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6753/552, 8784/805 is 19772784/23.

LCM(6753/552, 8784/805) = 19772784/23

LCM of 6753/552, 8784/805

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 6753/552,8784/805

Given numbers are 6753/552,8784/805

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 6753,8784

Least Common Multiple of Numerators i.e. LCM of 6753,8784 is 19772784.

GCF of Denominators means GCF of 552,805 as per the given fractions.

GCF of 552,805 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6753,8784

LCM of Fractions 6753/552,8784/805 is 19772784/23

3 6753, 8784
2251, 2928

∴ So the LCM of the given numbers is 3 x 2251 x 2928 = 19772784

Least Common Multiple of 6753,8784 with GCF Formula

Least Common Multiple of 6753,8784 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 6753,8784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6753,8784) = 3

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

GCF(6753,8784) x common factors =3 x 1 = 3

LCM(6753,8784) = ( 6753 × 8784 ) / 3

LCM(6753,8784) = 59318352 / 3

LCM(6753,8784) = 19772784


Lets's calculate GCF of 552,805

23 552, 805
24, 35

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19772784/23

Therefore the LCM of Fractions 6753/552,8784/805 is 19772784/23

Greatest Common Factor of 552,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,805 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 552,805 . The biggest common factor number is the GCF number.
So the greatest common factor 552,805 is 23.


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 6753/552, 8784/805

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 6753/552, 8784/805?

Answer: LCM of Numerators as per given numbers 6753/552, 8784/805 is

LCM of Numerators i.e. for 6753,8784 is 19772784

GCF of denominators i.e. for 552,805 is 23.

Thus, LCM of Fractions is 19772784/23.Finally, LCM of Fractions for 6753/552, 8784/805 is 19772784/23.