Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/248, 922/131, 616/655 quickly i.e. 10507112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/248, 922/131, 616/655 is 10507112.
LCM(37/248, 922/131, 616/655) = 10507112
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/248,922/131,616/655
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 37,922,616
Least Common Multiple of Numerators i.e. LCM of 37,922,616 is 10507112.
GCF of Denominators means GCF of 248,131,655 as per the given fractions.
GCF of 248,131,655 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,922,616
2 | 37, 922, 616 |
37, 461, 308 |
∴ So the LCM of the given numbers is 2 x 37 x 461 x 308 = 10507112
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 37,922,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,922,616) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(37,922,616) x common factors =1 x 2 = 2
LCM(37,922,616) = ( 37 × 922 × 616 ) / 2
LCM(37,922,616) = 21014224 / 2
LCM(37,922,616) = 10507112
Lets's calculate GCF of 248,131,655
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10507112/1
Therefore the LCM of Fractions 37/248,922/131,616/655 is 10507112
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1,131
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Greatest Common Factor
We found the factors 248,131,655 . The biggest common factor number is the GCF number.
So the greatest common factor 248,131,655 is 1.
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 37/248, 922/131, 616/655?
Answer: LCM of Numerators as per given numbers 37/248, 922/131, 616/655 is
LCM of Numerators i.e. for 37,922,616 is 10507112
GCF of denominators i.e. for 248,131,655 is 1.
Thus, LCM of Fractions is 10507112.Finally, LCM of Fractions for 37/248, 922/131, 616/655 is 10507112.