Least Common Multiple of 300/48, 639/5340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/48, 639/5340 quickly i.e. 5325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/48, 639/5340 is 5325.

LCM(300/48, 639/5340) = 5325

LCM of 300/48, 639/5340

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 300/48,639/5340

Given numbers are 300/48,639/5340

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 300,639

Least Common Multiple of Numerators i.e. LCM of 300,639 is 63900.

GCF of Denominators means GCF of 48,5340 as per the given fractions.

GCF of 48,5340 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,639

LCM of Fractions 300/48,639/5340 is 5325

3 300, 639
100, 213

∴ So the LCM of the given numbers is 3 x 100 x 213 = 63900

Least Common Multiple of 300,639 with GCF Formula

Least Common Multiple of 300,639 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 300,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,639) = 3

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

GCF(300,639) x common factors =3 x 1 = 3

LCM(300,639) = ( 300 × 639 ) / 3

LCM(300,639) = 191700 / 3

LCM(300,639) = 63900


Lets's calculate GCF of 48,5340

2 48, 5340
2 24, 2670
3 12, 1335
4, 445

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63900/12

Therefore the LCM of Fractions 300/48,639/5340 is 5325

Greatest Common Factor of 48,5340 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,5340 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 5340

List of positive integer factors of 5340 that divides 5340 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,89,178,267,356,445,534,890,1068,1335,1780,2670,5340

Greatest Common Factor

We found the factors 48,5340 . The biggest common factor number is the GCF number.
So the greatest common factor 48,5340 is 12.


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 300/48, 639/5340

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 300/48, 639/5340?

Answer: LCM of Numerators as per given numbers 300/48, 639/5340 is

LCM of Numerators i.e. for 300,639 is 63900

GCF of denominators i.e. for 48,5340 is 12.

Thus, LCM of Fractions is 5325.Finally, LCM of Fractions for 300/48, 639/5340 is 5325.