Least Common Multiple of 1323/700, 5280/5863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1323/700, 5280/5863 quickly i.e. 2328480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1323/700, 5280/5863 is 2328480.

LCM(1323/700, 5280/5863) = 2328480

LCM of 1323/700, 5280/5863

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 1323/700,5280/5863

Given numbers are 1323/700,5280/5863

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 1323,5280

Least Common Multiple of Numerators i.e. LCM of 1323,5280 is 2328480.

GCF of Denominators means GCF of 700,5863 as per the given fractions.

GCF of 700,5863 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1323,5280

LCM of Fractions 1323/700,5280/5863 is 2328480

3 1323, 5280
441, 1760

∴ So the LCM of the given numbers is 3 x 441 x 1760 = 2328480

Least Common Multiple of 1323,5280 with GCF Formula

Least Common Multiple of 1323,5280 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 1323,5280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1323,5280) = 3

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

GCF(1323,5280) x common factors =3 x 1 = 3

LCM(1323,5280) = ( 1323 × 5280 ) / 3

LCM(1323,5280) = 6985440 / 3

LCM(1323,5280) = 2328480


Lets's calculate GCF of 700,5863

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2328480/1

Therefore the LCM of Fractions 1323/700,5280/5863 is 2328480

Greatest Common Factor of 700,5863 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,5863 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 5863

List of positive integer factors of 5863 that divides 5863 without a remainder.

1,11,13,41,143,451,533,5863

Greatest Common Factor

We found the factors 700,5863 . The biggest common factor number is the GCF number.
So the greatest common factor 700,5863 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 1323/700, 5280/5863

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 1323/700, 5280/5863?

Answer: LCM of Numerators as per given numbers 1323/700, 5280/5863 is

LCM of Numerators i.e. for 1323,5280 is 2328480

GCF of denominators i.e. for 700,5863 is 1.

Thus, LCM of Fractions is 2328480.Finally, LCM of Fractions for 1323/700, 5280/5863 is 2328480.