Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/52, 99/10, 21/37, 51/72 quickly i.e. 506583 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/52, 99/10, 21/37, 51/72 is 506583.
LCM(43/52, 99/10, 21/37, 51/72) = 506583
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/52,99/10,21/37,51/72
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 43,99,21,51
Least Common Multiple of Numerators i.e. LCM of 43,99,21,51 is 506583.
GCF of Denominators means GCF of 52,10,37,72 as per the given fractions.
GCF of 52,10,37,72 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,99,21,51
3 | 43, 99, 21, 51 |
43, 33, 7, 17 |
∴ So the LCM of the given numbers is 3 x 43 x 33 x 7 x 17 = 506583
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 43,99,21,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,99,21,51) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(43,99,21,51) x common factors =1 x 9 = 9
LCM(43,99,21,51) = ( 43 × 99 × 21 × 51 ) / 9
LCM(43,99,21,51) = 4559247 / 9
LCM(43,99,21,51) = 506583
Lets's calculate GCF of 52,10,37,72
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 506583/1
Therefore the LCM of Fractions 43/52,99/10,21/37,51/72 is 506583
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Greatest Common Factor
We found the factors 52,10,37,72 . The biggest common factor number is the GCF number.
So the greatest common factor 52,10,37,72 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 43/52, 99/10, 21/37, 51/72?
Answer: LCM of Numerators as per given numbers 43/52, 99/10, 21/37, 51/72 is
LCM of Numerators i.e. for 43,99,21,51 is 506583
GCF of denominators i.e. for 52,10,37,72 is 1.
Thus, LCM of Fractions is 506583.Finally, LCM of Fractions for 43/52, 99/10, 21/37, 51/72 is 506583.