Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/652, 15/424, 977/572 quickly i.e. 14655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/652, 15/424, 977/572 is 14655.
LCM(12/652, 15/424, 977/572) = 14655
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/652,15/424,977/572
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 12,15,977
Least Common Multiple of Numerators i.e. LCM of 12,15,977 is 58620.
GCF of Denominators means GCF of 652,424,572 as per the given fractions.
GCF of 652,424,572 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,15,977
3 | 12, 15, 977 |
4, 5, 977 |
∴ So the LCM of the given numbers is 3 x 4 x 5 x 977 = 58620
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 12,15,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,15,977) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(12,15,977) x common factors =1 x 3 = 3
LCM(12,15,977) = ( 12 × 15 × 977 ) / 3
LCM(12,15,977) = 175860 / 3
LCM(12,15,977) = 58620
Lets's calculate GCF of 652,424,572
2 | 652, 424, 572 |
2 | 326, 212, 286 |
163, 106, 143 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58620/4
Therefore the LCM of Fractions 12/652,15/424,977/572 is 14655
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 652,424,572 . The biggest common factor number is the GCF number.
So the greatest common factor 652,424,572 is 4.
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 12/652, 15/424, 977/572?
Answer: LCM of Numerators as per given numbers 12/652, 15/424, 977/572 is
LCM of Numerators i.e. for 12,15,977 is 58620
GCF of denominators i.e. for 652,424,572 is 4.
Thus, LCM of Fractions is 14655.Finally, LCM of Fractions for 12/652, 15/424, 977/572 is 14655.