Least Common Multiple of 2280/664, 1311/4888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2280/664, 1311/4888 quickly i.e. 6555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2280/664, 1311/4888 is 6555.

LCM(2280/664, 1311/4888) = 6555

LCM of 2280/664, 1311/4888

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 2280/664,1311/4888

Given numbers are 2280/664,1311/4888

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 2280,1311

Least Common Multiple of Numerators i.e. LCM of 2280,1311 is 52440.

GCF of Denominators means GCF of 664,4888 as per the given fractions.

GCF of 664,4888 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2280,1311

LCM of Fractions 2280/664,1311/4888 is 6555

3 2280, 1311
19 760, 437
40, 23

∴ So the LCM of the given numbers is 3 x 19 x 40 x 23 = 52440

Least Common Multiple of 2280,1311 with GCF Formula

Least Common Multiple of 2280,1311 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 2280,1311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2280,1311) = 57

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

GCF(2280,1311) x common factors =57 x 1 = 57

LCM(2280,1311) = ( 2280 × 1311 ) / 57

LCM(2280,1311) = 2989080 / 57

LCM(2280,1311) = 52440


Lets's calculate GCF of 664,4888

2 664, 4888
2 332, 2444
2 166, 1222
83, 611

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52440/8

Therefore the LCM of Fractions 2280/664,1311/4888 is 6555

Greatest Common Factor of 664,4888 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,4888 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 4888

List of positive integer factors of 4888 that divides 4888 without a remainder.

1,2,4,8,13,26,47,52,94,104,188,376,611,1222,2444,4888

Greatest Common Factor

We found the factors 664,4888 . The biggest common factor number is the GCF number.
So the greatest common factor 664,4888 is 8.


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 2280/664, 1311/4888

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 2280/664, 1311/4888?

Answer: LCM of Numerators as per given numbers 2280/664, 1311/4888 is

LCM of Numerators i.e. for 2280,1311 is 52440

GCF of denominators i.e. for 664,4888 is 8.

Thus, LCM of Fractions is 6555.Finally, LCM of Fractions for 2280/664, 1311/4888 is 6555.