Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 318/470, 6774/5625 quickly i.e. 359022/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 318/470, 6774/5625 is 359022/5.
LCM(318/470, 6774/5625) = 359022/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 318/470,6774/5625
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 318,6774
Least Common Multiple of Numerators i.e. LCM of 318,6774 is 359022.
GCF of Denominators means GCF of 470,5625 as per the given fractions.
GCF of 470,5625 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 318,6774
2 | 318, 6774 |
3 | 159, 3387 |
53, 1129 |
∴ So the LCM of the given numbers is 2 x 3 x 53 x 1129 = 359022
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 318,6774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,6774) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(318,6774) x common factors =6 x 1 = 6
LCM(318,6774) = ( 318 × 6774 ) / 6
LCM(318,6774) = 2154132 / 6
LCM(318,6774) = 359022
Lets's calculate GCF of 470,5625
5 | 470, 5625 |
94, 1125 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 359022/5
Therefore the LCM of Fractions 318/470,6774/5625 is 359022/5
Factors of 470
List of positive integer factors of 470 that divides 470 without a remainder.
1,2,5,10,47,94,235,470
Factors of 5625
List of positive integer factors of 5625 that divides 5625 without a remainder.
1,3,5,9,15,25,45,75,125,225,375,625,1125,1875,5625
Greatest Common Factor
We found the factors 470,5625 . The biggest common factor number is the GCF number.
So the greatest common factor 470,5625 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 318/470, 6774/5625?
Answer: LCM of Numerators as per given numbers 318/470, 6774/5625 is
LCM of Numerators i.e. for 318,6774 is 359022
GCF of denominators i.e. for 470,5625 is 5.
Thus, LCM of Fractions is 359022/5.Finally, LCM of Fractions for 318/470, 6774/5625 is 359022/5.