Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/959, 6939/4402 quickly i.e. 48573 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/959, 6939/4402 is 48573.
LCM(63/959, 6939/4402) = 48573
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/959,6939/4402
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 63,6939
Least Common Multiple of Numerators i.e. LCM of 63,6939 is 48573.
GCF of Denominators means GCF of 959,4402 as per the given fractions.
GCF of 959,4402 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,6939
3 | 63, 6939 |
3 | 21, 2313 |
7, 771 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 771 = 48573
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 63,6939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,6939) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(63,6939) x common factors =9 x 1 = 9
LCM(63,6939) = ( 63 × 6939 ) / 9
LCM(63,6939) = 437157 / 9
LCM(63,6939) = 48573
Lets's calculate GCF of 959,4402
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48573/1
Therefore the LCM of Fractions 63/959,6939/4402 is 48573
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1,7,137,959
Factors of 4402
List of positive integer factors of 4402 that divides 4402 without a remainder.
1,2,31,62,71,142,2201,4402
Greatest Common Factor
We found the factors 959,4402 . The biggest common factor number is the GCF number.
So the greatest common factor 959,4402 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 63/959, 6939/4402?
Answer: LCM of Numerators as per given numbers 63/959, 6939/4402 is
LCM of Numerators i.e. for 63,6939 is 48573
GCF of denominators i.e. for 959,4402 is 1.
Thus, LCM of Fractions is 48573.Finally, LCM of Fractions for 63/959, 6939/4402 is 48573.