Least Common Multiple of 586/410, 2680/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 586/410, 2680/472 quickly i.e. 392620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 586/410, 2680/472 is 392620.

LCM(586/410, 2680/472) = 392620

LCM of 586/410, 2680/472

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 586/410,2680/472

Given numbers are 586/410,2680/472

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 586,2680

Least Common Multiple of Numerators i.e. LCM of 586,2680 is 785240.

GCF of Denominators means GCF of 410,472 as per the given fractions.

GCF of 410,472 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 586,2680

LCM of Fractions 586/410,2680/472 is 392620

2 586, 2680
293, 1340

∴ So the LCM of the given numbers is 2 x 293 x 1340 = 785240

Least Common Multiple of 586,2680 with GCF Formula

Least Common Multiple of 586,2680 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 586,2680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,2680) = 2

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

GCF(586,2680) x common factors =2 x 1 = 2

LCM(586,2680) = ( 586 × 2680 ) / 2

LCM(586,2680) = 1570480 / 2

LCM(586,2680) = 785240


Lets's calculate GCF of 410,472

2 410, 472
205, 236

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 785240/2

Therefore the LCM of Fractions 586/410,2680/472 is 392620

Greatest Common Factor of 410,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,472 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 410,472 . The biggest common factor number is the GCF number.
So the greatest common factor 410,472 is 2.


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 586/410, 2680/472

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 586/410, 2680/472?

Answer: LCM of Numerators as per given numbers 586/410, 2680/472 is

LCM of Numerators i.e. for 586,2680 is 785240

GCF of denominators i.e. for 410,472 is 2.

Thus, LCM of Fractions is 392620.Finally, LCM of Fractions for 586/410, 2680/472 is 392620.