Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/297, 93/867, 961/637 quickly i.e. 37479 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/297, 93/867, 961/637 is 37479.
LCM(13/297, 93/867, 961/637) = 37479
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/297,93/867,961/637
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 13,93,961
Least Common Multiple of Numerators i.e. LCM of 13,93,961 is 37479.
GCF of Denominators means GCF of 297,867,637 as per the given fractions.
GCF of 297,867,637 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,93,961
31 | 13, 93, 961 |
13, 3, 31 |
∴ So the LCM of the given numbers is 31 x 13 x 3 x 31 = 37479
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 13,93,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,93,961) = 1
common factors(in case of two or more numbers have common factors) = 31
GCF(13,93,961) x common factors =1 x 31 = 31
LCM(13,93,961) = ( 13 × 93 × 961 ) / 31
LCM(13,93,961) = 1161849 / 31
LCM(13,93,961) = 37479
Lets's calculate GCF of 297,867,637
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37479/1
Therefore the LCM of Fractions 13/297,93/867,961/637 is 37479
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Greatest Common Factor
We found the factors 297,867,637 . The biggest common factor number is the GCF number.
So the greatest common factor 297,867,637 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 13/297, 93/867, 961/637?
Answer: LCM of Numerators as per given numbers 13/297, 93/867, 961/637 is
LCM of Numerators i.e. for 13,93,961 is 37479
GCF of denominators i.e. for 297,867,637 is 1.
Thus, LCM of Fractions is 37479.Finally, LCM of Fractions for 13/297, 93/867, 961/637 is 37479.