Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 732/52, 868/27, 728/297 quickly i.e. 4129944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 732/52, 868/27, 728/297 is 4129944.
LCM(732/52, 868/27, 728/297) = 4129944
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 732/52,868/27,728/297
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 732,868,728
Least Common Multiple of Numerators i.e. LCM of 732,868,728 is 4129944.
GCF of Denominators means GCF of 52,27,297 as per the given fractions.
GCF of 52,27,297 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 732,868,728
2 | 732, 868, 728 |
2 | 366, 434, 364 |
7 | 183, 217, 182 |
183, 31, 26 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 183 x 31 x 26 = 4129944
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 732,868,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,868,728) = 4
common factors(in case of two or more numbers have common factors) = 28
GCF(732,868,728) x common factors =4 x 28 = 112
LCM(732,868,728) = ( 732 × 868 × 728 ) / 112
LCM(732,868,728) = 462553728 / 112
LCM(732,868,728) = 4129944
Lets's calculate GCF of 52,27,297
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4129944/1
Therefore the LCM of Fractions 732/52,868/27,728/297 is 4129944
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Greatest Common Factor
We found the factors 52,27,297 . The biggest common factor number is the GCF number.
So the greatest common factor 52,27,297 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 732/52, 868/27, 728/297?
Answer: LCM of Numerators as per given numbers 732/52, 868/27, 728/297 is
LCM of Numerators i.e. for 732,868,728 is 4129944
GCF of denominators i.e. for 52,27,297 is 1.
Thus, LCM of Fractions is 4129944.Finally, LCM of Fractions for 732/52, 868/27, 728/297 is 4129944.