Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/372, 4662/9257 quickly i.e. 102564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/372, 4662/9257 is 102564.
LCM(44/372, 4662/9257) = 102564
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/372,4662/9257
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 44,4662
Least Common Multiple of Numerators i.e. LCM of 44,4662 is 102564.
GCF of Denominators means GCF of 372,9257 as per the given fractions.
GCF of 372,9257 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,4662
2 | 44, 4662 |
22, 2331 |
∴ So the LCM of the given numbers is 2 x 22 x 2331 = 102564
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 44,4662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,4662) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(44,4662) x common factors =2 x 1 = 2
LCM(44,4662) = ( 44 × 4662 ) / 2
LCM(44,4662) = 205128 / 2
LCM(44,4662) = 102564
Lets's calculate GCF of 372,9257
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102564/1
Therefore the LCM of Fractions 44/372,4662/9257 is 102564
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Factors of 9257
List of positive integer factors of 9257 that divides 9257 without a remainder.
1,9257
Greatest Common Factor
We found the factors 372,9257 . The biggest common factor number is the GCF number.
So the greatest common factor 372,9257 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 44/372, 4662/9257?
Answer: LCM of Numerators as per given numbers 44/372, 4662/9257 is
LCM of Numerators i.e. for 44,4662 is 102564
GCF of denominators i.e. for 372,9257 is 1.
Thus, LCM of Fractions is 102564.Finally, LCM of Fractions for 44/372, 4662/9257 is 102564.