Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 473/900, 712/952, 593/544 quickly i.e. 49927042 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 473/900, 712/952, 593/544 is 49927042.
LCM(473/900, 712/952, 593/544) = 49927042
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 473/900,712/952,593/544
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 473,712,593
Least Common Multiple of Numerators i.e. LCM of 473,712,593 is 199708168.
GCF of Denominators means GCF of 900,952,544 as per the given fractions.
GCF of 900,952,544 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 473,712,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 199708168
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 473,712,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,712,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(473,712,593) x common factors =1 x 1 = 1
LCM(473,712,593) = ( 473 × 712 × 593 ) / 1
LCM(473,712,593) = 199708168 / 1
LCM(473,712,593) = 199708168
Lets's calculate GCF of 900,952,544
2 | 900, 952, 544 |
2 | 450, 476, 272 |
225, 238, 136 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 199708168/4
Therefore the LCM of Fractions 473/900,712/952,593/544 is 49927042
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Greatest Common Factor
We found the factors 900,952,544 . The biggest common factor number is the GCF number.
So the greatest common factor 900,952,544 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 473/900, 712/952, 593/544?
Answer: LCM of Numerators as per given numbers 473/900, 712/952, 593/544 is
LCM of Numerators i.e. for 473,712,593 is 199708168
GCF of denominators i.e. for 900,952,544 is 4.
Thus, LCM of Fractions is 49927042.Finally, LCM of Fractions for 473/900, 712/952, 593/544 is 49927042.