Least Common Multiple of 339/39, 780/1248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 339/39, 780/1248 quickly i.e. 2260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 339/39, 780/1248 is 2260.

LCM(339/39, 780/1248) = 2260

LCM of 339/39, 780/1248

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 339/39,780/1248

Given numbers are 339/39,780/1248

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 339,780

Least Common Multiple of Numerators i.e. LCM of 339,780 is 88140.

GCF of Denominators means GCF of 39,1248 as per the given fractions.

GCF of 39,1248 is 39 as it is the largest common factor for these numbers.

Lets's calculate LCM of 339,780

LCM of Fractions 339/39,780/1248 is 2260

3 339, 780
113, 260

∴ So the LCM of the given numbers is 3 x 113 x 260 = 88140

Least Common Multiple of 339,780 with GCF Formula

Least Common Multiple of 339,780 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 339,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,780) = 3

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

GCF(339,780) x common factors =3 x 1 = 3

LCM(339,780) = ( 339 × 780 ) / 3

LCM(339,780) = 264420 / 3

LCM(339,780) = 88140


Lets's calculate GCF of 39,1248

3 39, 1248
13 13, 416
1, 32

∴ So the GCF of the given numbers is 3 x 13 = 39

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88140/39

Therefore the LCM of Fractions 339/39,780/1248 is 2260

Greatest Common Factor of 39,1248 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,1248 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 1248

List of positive integer factors of 1248 that divides 1248 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,78,96,104,156,208,312,416,624,1248

Greatest Common Factor

We found the factors 39,1248 . The biggest common factor number is the GCF number.
So the greatest common factor 39,1248 is 39.


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 339/39, 780/1248

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 339/39, 780/1248?

Answer: LCM of Numerators as per given numbers 339/39, 780/1248 is

LCM of Numerators i.e. for 339,780 is 88140

GCF of denominators i.e. for 39,1248 is 39.

Thus, LCM of Fractions is 2260.Finally, LCM of Fractions for 339/39, 780/1248 is 2260.