Least Common Multiple of 4838/580, 1947/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4838/580, 1947/416 quickly i.e. 159654/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4838/580, 1947/416 is 159654/4.

LCM(4838/580, 1947/416) = 159654/4

LCM of 4838/580, 1947/416

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 4838/580,1947/416

Given numbers are 4838/580,1947/416

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 4838,1947

Least Common Multiple of Numerators i.e. LCM of 4838,1947 is 159654.

GCF of Denominators means GCF of 580,416 as per the given fractions.

GCF of 580,416 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4838,1947

LCM of Fractions 4838/580,1947/416 is 159654/4

59 4838, 1947
82, 33

∴ So the LCM of the given numbers is 59 x 82 x 33 = 159654

Least Common Multiple of 4838,1947 with GCF Formula

Least Common Multiple of 4838,1947 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 4838,1947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4838,1947) = 59

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

GCF(4838,1947) x common factors =59 x 1 = 59

LCM(4838,1947) = ( 4838 × 1947 ) / 59

LCM(4838,1947) = 9419586 / 59

LCM(4838,1947) = 159654


Lets's calculate GCF of 580,416

2 580, 416
2 290, 208
145, 104

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159654/4

Therefore the LCM of Fractions 4838/580,1947/416 is 159654/4

Greatest Common Factor of 580,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,416 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 580,416 . The biggest common factor number is the GCF number.
So the greatest common factor 580,416 is 4.


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 4838/580, 1947/416

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 4838/580, 1947/416?

Answer: LCM of Numerators as per given numbers 4838/580, 1947/416 is

LCM of Numerators i.e. for 4838,1947 is 159654

GCF of denominators i.e. for 580,416 is 4.

Thus, LCM of Fractions is 159654/4.Finally, LCM of Fractions for 4838/580, 1947/416 is 159654/4.