Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7428/444, 9075/937 quickly i.e. 22469700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7428/444, 9075/937 is 22469700.
LCM(7428/444, 9075/937) = 22469700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7428/444,9075/937
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 7428,9075
Least Common Multiple of Numerators i.e. LCM of 7428,9075 is 22469700.
GCF of Denominators means GCF of 444,937 as per the given fractions.
GCF of 444,937 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7428,9075
3 | 7428, 9075 |
2476, 3025 |
∴ So the LCM of the given numbers is 3 x 2476 x 3025 = 22469700
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 7428,9075 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7428,9075) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(7428,9075) x common factors =3 x 1 = 3
LCM(7428,9075) = ( 7428 × 9075 ) / 3
LCM(7428,9075) = 67409100 / 3
LCM(7428,9075) = 22469700
Lets's calculate GCF of 444,937
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22469700/1
Therefore the LCM of Fractions 7428/444,9075/937 is 22469700
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Factors of 937
List of positive integer factors of 937 that divides 937 without a remainder.
1,937
Greatest Common Factor
We found the factors 444,937 . The biggest common factor number is the GCF number.
So the greatest common factor 444,937 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 7428/444, 9075/937?
Answer: LCM of Numerators as per given numbers 7428/444, 9075/937 is
LCM of Numerators i.e. for 7428,9075 is 22469700
GCF of denominators i.e. for 444,937 is 1.
Thus, LCM of Fractions is 22469700.Finally, LCM of Fractions for 7428/444, 9075/937 is 22469700.