Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7315/57, 2166/462 quickly i.e. 277970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7315/57, 2166/462 is 277970.
LCM(7315/57, 2166/462) = 277970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7315/57,2166/462
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 7315,2166
Least Common Multiple of Numerators i.e. LCM of 7315,2166 is 833910.
GCF of Denominators means GCF of 57,462 as per the given fractions.
GCF of 57,462 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7315,2166
19 | 7315, 2166 |
385, 114 |
∴ So the LCM of the given numbers is 19 x 385 x 114 = 833910
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 7315,2166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7315,2166) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(7315,2166) x common factors =19 x 1 = 19
LCM(7315,2166) = ( 7315 × 2166 ) / 19
LCM(7315,2166) = 15844290 / 19
LCM(7315,2166) = 833910
Lets's calculate GCF of 57,462
3 | 57, 462 |
19, 154 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 833910/3
Therefore the LCM of Fractions 7315/57,2166/462 is 277970
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Greatest Common Factor
We found the factors 57,462 . The biggest common factor number is the GCF number.
So the greatest common factor 57,462 is 3.
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 7315/57, 2166/462?
Answer: LCM of Numerators as per given numbers 7315/57, 2166/462 is
LCM of Numerators i.e. for 7315,2166 is 833910
GCF of denominators i.e. for 57,462 is 3.
Thus, LCM of Fractions is 277970.Finally, LCM of Fractions for 7315/57, 2166/462 is 277970.