Least Common Multiple of 2580/457, 5382/3678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2580/457, 5382/3678 quickly i.e. 2314260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2580/457, 5382/3678 is 2314260.

LCM(2580/457, 5382/3678) = 2314260

LCM of 2580/457, 5382/3678

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 2580/457,5382/3678

Given numbers are 2580/457,5382/3678

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 2580,5382

Least Common Multiple of Numerators i.e. LCM of 2580,5382 is 2314260.

GCF of Denominators means GCF of 457,3678 as per the given fractions.

GCF of 457,3678 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2580,5382

LCM of Fractions 2580/457,5382/3678 is 2314260

2 2580, 5382
3 1290, 2691
430, 897

∴ So the LCM of the given numbers is 2 x 3 x 430 x 897 = 2314260

Least Common Multiple of 2580,5382 with GCF Formula

Least Common Multiple of 2580,5382 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 2580,5382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2580,5382) = 6

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

GCF(2580,5382) x common factors =6 x 1 = 6

LCM(2580,5382) = ( 2580 × 5382 ) / 6

LCM(2580,5382) = 13885560 / 6

LCM(2580,5382) = 2314260


Lets's calculate GCF of 457,3678

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2314260/1

Therefore the LCM of Fractions 2580/457,5382/3678 is 2314260

Greatest Common Factor of 457,3678 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,3678 By Matching Biggest Common Factor Method

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 3678

List of positive integer factors of 3678 that divides 3678 without a remainder.

1,2,3,6,613,1226,1839,3678

Greatest Common Factor

We found the factors 457,3678 . The biggest common factor number is the GCF number.
So the greatest common factor 457,3678 is 1.


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 2580/457, 5382/3678

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 2580/457, 5382/3678?

Answer: LCM of Numerators as per given numbers 2580/457, 5382/3678 is

LCM of Numerators i.e. for 2580,5382 is 2314260

GCF of denominators i.e. for 457,3678 is 1.

Thus, LCM of Fractions is 2314260.Finally, LCM of Fractions for 2580/457, 5382/3678 is 2314260.