Least Common Multiple of 39/580, 50/160, 520/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/580, 50/160, 520/312 quickly i.e. 1950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/580, 50/160, 520/312 is 1950.

LCM(39/580, 50/160, 520/312) = 1950

LCM of 39/580, 50/160, 520/312

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 39/580,50/160,520/312

Given numbers are 39/580,50/160,520/312

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 39,50,520

Least Common Multiple of Numerators i.e. LCM of 39,50,520 is 7800.

GCF of Denominators means GCF of 580,160,312 as per the given fractions.

GCF of 580,160,312 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,50,520

LCM of Fractions 39/580,50/160,520/312 is 1950

2 39, 50, 520
5 39, 25, 260
13 39, 5, 52
3, 5, 4

∴ So the LCM of the given numbers is 2 x 5 x 13 x 3 x 5 x 4 = 7800

Least Common Multiple of 39,50,520 with GCF Formula

Least Common Multiple of 39,50,520 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 39,50,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,50,520) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(39,50,520) x common factors =1 x 130 = 130

LCM(39,50,520) = ( 39 × 50 × 520 ) / 130

LCM(39,50,520) = 1014000 / 130

LCM(39,50,520) = 7800


Lets's calculate GCF of 580,160,312

2 580, 160, 312
2 290, 80, 156
145, 40, 78

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7800/4

Therefore the LCM of Fractions 39/580,50/160,520/312 is 1950

Greatest Common Factor of 580,160,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,160,312 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 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 580,160,312 . The biggest common factor number is the GCF number.
So the greatest common factor 580,160,312 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 39/580, 50/160, 520/312

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 39/580, 50/160, 520/312?

Answer: LCM of Numerators as per given numbers 39/580, 50/160, 520/312 is

LCM of Numerators i.e. for 39,50,520 is 7800

GCF of denominators i.e. for 580,160,312 is 4.

Thus, LCM of Fractions is 1950.Finally, LCM of Fractions for 39/580, 50/160, 520/312 is 1950.