Least Common Multiple of 930/39, 582/1260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 930/39, 582/1260 quickly i.e. 30070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 930/39, 582/1260 is 30070.

LCM(930/39, 582/1260) = 30070

LCM of 930/39, 582/1260

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 930/39,582/1260

Given numbers are 930/39,582/1260

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 930,582

Least Common Multiple of Numerators i.e. LCM of 930,582 is 90210.

GCF of Denominators means GCF of 39,1260 as per the given fractions.

GCF of 39,1260 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 930,582

LCM of Fractions 930/39,582/1260 is 30070

2 930, 582
3 465, 291
155, 97

∴ So the LCM of the given numbers is 2 x 3 x 155 x 97 = 90210

Least Common Multiple of 930,582 with GCF Formula

Least Common Multiple of 930,582 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 930,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,582) = 6

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

GCF(930,582) x common factors =6 x 1 = 6

LCM(930,582) = ( 930 × 582 ) / 6

LCM(930,582) = 541260 / 6

LCM(930,582) = 90210


Lets's calculate GCF of 39,1260

3 39, 1260
13, 420

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90210/3

Therefore the LCM of Fractions 930/39,582/1260 is 30070

Greatest Common Factor of 39,1260 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,1260 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 1260

List of positive integer factors of 1260 that divides 1260 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,60,63,70,84,90,105,126,140,180,210,252,315,420,630,1260

Greatest Common Factor

We found the factors 39,1260 . The biggest common factor number is the GCF number.
So the greatest common factor 39,1260 is 3.


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 930/39, 582/1260

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 930/39, 582/1260?

Answer: LCM of Numerators as per given numbers 930/39, 582/1260 is

LCM of Numerators i.e. for 930,582 is 90210

GCF of denominators i.e. for 39,1260 is 3.

Thus, LCM of Fractions is 30070.Finally, LCM of Fractions for 930/39, 582/1260 is 30070.