Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 872/713, 4708/5237 quickly i.e. 1026344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 872/713, 4708/5237 is 1026344.
LCM(872/713, 4708/5237) = 1026344
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 872/713,4708/5237
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 872,4708
Least Common Multiple of Numerators i.e. LCM of 872,4708 is 1026344.
GCF of Denominators means GCF of 713,5237 as per the given fractions.
GCF of 713,5237 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 872,4708
2 | 872, 4708 |
2 | 436, 2354 |
218, 1177 |
∴ So the LCM of the given numbers is 2 x 2 x 218 x 1177 = 1026344
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 872,4708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,4708) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(872,4708) x common factors =4 x 1 = 4
LCM(872,4708) = ( 872 × 4708 ) / 4
LCM(872,4708) = 4105376 / 4
LCM(872,4708) = 1026344
Lets's calculate GCF of 713,5237
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1026344/1
Therefore the LCM of Fractions 872/713,4708/5237 is 1026344
Factors of 713
List of positive integer factors of 713 that divides 713 without a remainder.
1,23,31,713
Factors of 5237
List of positive integer factors of 5237 that divides 5237 without a remainder.
1,5237
Greatest Common Factor
We found the factors 713,5237 . The biggest common factor number is the GCF number.
So the greatest common factor 713,5237 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 872/713, 4708/5237?
Answer: LCM of Numerators as per given numbers 872/713, 4708/5237 is
LCM of Numerators i.e. for 872,4708 is 1026344
GCF of denominators i.e. for 713,5237 is 1.
Thus, LCM of Fractions is 1026344.Finally, LCM of Fractions for 872/713, 4708/5237 is 1026344.