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
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
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
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
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
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.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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.