Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/16, 77/340, 50/260 quickly i.e. 3850/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/16, 77/340, 50/260 is 3850/4.
LCM(5/16, 77/340, 50/260) = 3850/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/16,77/340,50/260
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 5,77,50
Least Common Multiple of Numerators i.e. LCM of 5,77,50 is 3850.
GCF of Denominators means GCF of 16,340,260 as per the given fractions.
GCF of 16,340,260 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,77,50
5 | 5, 77, 50 |
1, 77, 10 |
∴ So the LCM of the given numbers is 5 x 1 x 77 x 10 = 3850
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 5,77,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,77,50) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(5,77,50) x common factors =1 x 5 = 5
LCM(5,77,50) = ( 5 × 77 × 50 ) / 5
LCM(5,77,50) = 19250 / 5
LCM(5,77,50) = 3850
Lets's calculate GCF of 16,340,260
2 | 16, 340, 260 |
2 | 8, 170, 130 |
4, 85, 65 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3850/4
Therefore the LCM of Fractions 5/16,77/340,50/260 is 3850/4
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Factors of 260
List of positive integer factors of 260 that divides 260 without a remainder.
1,2,4,5,10,13,20,26,52,65,130,260
Greatest Common Factor
We found the factors 16,340,260 . The biggest common factor number is the GCF number.
So the greatest common factor 16,340,260 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 5/16, 77/340, 50/260?
Answer: LCM of Numerators as per given numbers 5/16, 77/340, 50/260 is
LCM of Numerators i.e. for 5,77,50 is 3850
GCF of denominators i.e. for 16,340,260 is 4.
Thus, LCM of Fractions is 3850/4.Finally, LCM of Fractions for 5/16, 77/340, 50/260 is 3850/4.