Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/347, 40/732, 911/235 quickly i.e. 473720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/347, 40/732, 911/235 is 473720.
LCM(52/347, 40/732, 911/235) = 473720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/347,40/732,911/235
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 52,40,911
Least Common Multiple of Numerators i.e. LCM of 52,40,911 is 473720.
GCF of Denominators means GCF of 347,732,235 as per the given fractions.
GCF of 347,732,235 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,40,911
2 | 52, 40, 911 |
2 | 26, 20, 911 |
13, 10, 911 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 10 x 911 = 473720
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 52,40,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,40,911) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(52,40,911) x common factors =1 x 4 = 4
LCM(52,40,911) = ( 52 × 40 × 911 ) / 4
LCM(52,40,911) = 1894880 / 4
LCM(52,40,911) = 473720
Lets's calculate GCF of 347,732,235
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 473720/1
Therefore the LCM of Fractions 52/347,40/732,911/235 is 473720
Factors of 347
List of positive integer factors of 347 that divides 347 without a remainder.
1,347
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Greatest Common Factor
We found the factors 347,732,235 . The biggest common factor number is the GCF number.
So the greatest common factor 347,732,235 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 52/347, 40/732, 911/235?
Answer: LCM of Numerators as per given numbers 52/347, 40/732, 911/235 is
LCM of Numerators i.e. for 52,40,911 is 473720
GCF of denominators i.e. for 347,732,235 is 1.
Thus, LCM of Fractions is 473720.Finally, LCM of Fractions for 52/347, 40/732, 911/235 is 473720.