Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 472/944, 3225/8930 quickly i.e. 761100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 472/944, 3225/8930 is 761100.
LCM(472/944, 3225/8930) = 761100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 472/944,3225/8930
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 472,3225
Least Common Multiple of Numerators i.e. LCM of 472,3225 is 1522200.
GCF of Denominators means GCF of 944,8930 as per the given fractions.
GCF of 944,8930 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 472,3225
Given numbers has no common factors except 1. So, there LCM is their product i.e 1522200
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 472,3225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,3225) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,3225) x common factors =1 x 1 = 1
LCM(472,3225) = ( 472 × 3225 ) / 1
LCM(472,3225) = 1522200 / 1
LCM(472,3225) = 1522200
Lets's calculate GCF of 944,8930
2 | 944, 8930 |
472, 4465 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1522200/2
Therefore the LCM of Fractions 472/944,3225/8930 is 761100
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Factors of 8930
List of positive integer factors of 8930 that divides 8930 without a remainder.
1,2,5,10,19,38,47,94,95,190,235,470,893,1786,4465,8930
Greatest Common Factor
We found the factors 944,8930 . The biggest common factor number is the GCF number.
So the greatest common factor 944,8930 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 472/944, 3225/8930?
Answer: LCM of Numerators as per given numbers 472/944, 3225/8930 is
LCM of Numerators i.e. for 472,3225 is 1522200
GCF of denominators i.e. for 944,8930 is 2.
Thus, LCM of Fractions is 761100.Finally, LCM of Fractions for 472/944, 3225/8930 is 761100.