Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/60, 398/86, 372/276 quickly i.e. 925350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/60, 398/86, 372/276 is 925350.
LCM(50/60, 398/86, 372/276) = 925350
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/60,398/86,372/276
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 50,398,372
Least Common Multiple of Numerators i.e. LCM of 50,398,372 is 1850700.
GCF of Denominators means GCF of 60,86,276 as per the given fractions.
GCF of 60,86,276 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,398,372
2 | 50, 398, 372 |
25, 199, 186 |
∴ So the LCM of the given numbers is 2 x 25 x 199 x 186 = 1850700
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 50,398,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,398,372) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(50,398,372) x common factors =2 x 2 = 4
LCM(50,398,372) = ( 50 × 398 × 372 ) / 4
LCM(50,398,372) = 7402800 / 4
LCM(50,398,372) = 1850700
Lets's calculate GCF of 60,86,276
2 | 60, 86, 276 |
30, 43, 138 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1850700/2
Therefore the LCM of Fractions 50/60,398/86,372/276 is 925350
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors 60,86,276 . The biggest common factor number is the GCF number.
So the greatest common factor 60,86,276 is 2.
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 50/60, 398/86, 372/276?
Answer: LCM of Numerators as per given numbers 50/60, 398/86, 372/276 is
LCM of Numerators i.e. for 50,398,372 is 1850700
GCF of denominators i.e. for 60,86,276 is 2.
Thus, LCM of Fractions is 925350.Finally, LCM of Fractions for 50/60, 398/86, 372/276 is 925350.