Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/55, 88/15, 425/50 quickly i.e. 7480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/55, 88/15, 425/50 is 7480.
LCM(50/55, 88/15, 425/50) = 7480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/55,88/15,425/50
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 50,88,425
Least Common Multiple of Numerators i.e. LCM of 50,88,425 is 37400.
GCF of Denominators means GCF of 55,15,50 as per the given fractions.
GCF of 55,15,50 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,88,425
2 | 50, 88, 425 |
5 | 25, 44, 425 |
5 | 5, 44, 85 |
1, 44, 17 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 1 x 44 x 17 = 37400
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 50,88,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,88,425) = 1
common factors(in case of two or more numbers have common factors) = 50
GCF(50,88,425) x common factors =1 x 50 = 50
LCM(50,88,425) = ( 50 × 88 × 425 ) / 50
LCM(50,88,425) = 1870000 / 50
LCM(50,88,425) = 37400
Lets's calculate GCF of 55,15,50
5 | 55, 15, 50 |
11, 3, 10 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37400/5
Therefore the LCM of Fractions 50/55,88/15,425/50 is 7480
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Greatest Common Factor
We found the factors 55,15,50 . The biggest common factor number is the GCF number.
So the greatest common factor 55,15,50 is 5.
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 50/55, 88/15, 425/50?
Answer: LCM of Numerators as per given numbers 50/55, 88/15, 425/50 is
LCM of Numerators i.e. for 50,88,425 is 37400
GCF of denominators i.e. for 55,15,50 is 5.
Thus, LCM of Fractions is 7480.Finally, LCM of Fractions for 50/55, 88/15, 425/50 is 7480.