Least Common Multiple of 2865/582, 1434/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2865/582, 1434/390 quickly i.e. 228245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2865/582, 1434/390 is 228245.

LCM(2865/582, 1434/390) = 228245

LCM of 2865/582, 1434/390

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 2865/582,1434/390

Given numbers are 2865/582,1434/390

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 2865,1434

Least Common Multiple of Numerators i.e. LCM of 2865,1434 is 1369470.

GCF of Denominators means GCF of 582,390 as per the given fractions.

GCF of 582,390 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2865,1434

LCM of Fractions 2865/582,1434/390 is 228245

3 2865, 1434
955, 478

∴ So the LCM of the given numbers is 3 x 955 x 478 = 1369470

Least Common Multiple of 2865,1434 with GCF Formula

Least Common Multiple of 2865,1434 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 2865,1434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2865,1434) = 3

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

GCF(2865,1434) x common factors =3 x 1 = 3

LCM(2865,1434) = ( 2865 × 1434 ) / 3

LCM(2865,1434) = 4108410 / 3

LCM(2865,1434) = 1369470


Lets's calculate GCF of 582,390

2 582, 390
3 291, 195
97, 65

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1369470/6

Therefore the LCM of Fractions 2865/582,1434/390 is 228245

Greatest Common Factor of 582,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 582,390 By Matching Biggest Common Factor Method

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 582,390 . The biggest common factor number is the GCF number.
So the greatest common factor 582,390 is 6.


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 2865/582, 1434/390

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 2865/582, 1434/390?

Answer: LCM of Numerators as per given numbers 2865/582, 1434/390 is

LCM of Numerators i.e. for 2865,1434 is 1369470

GCF of denominators i.e. for 582,390 is 6.

Thus, LCM of Fractions is 228245.Finally, LCM of Fractions for 2865/582, 1434/390 is 228245.