Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/322, 37/635, 875/442 quickly i.e. 32375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/322, 37/635, 875/442 is 32375.
LCM(37/322, 37/635, 875/442) = 32375
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/322,37/635,875/442
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 37,37,875
Least Common Multiple of Numerators i.e. LCM of 37,37,875 is 32375.
GCF of Denominators means GCF of 322,635,442 as per the given fractions.
GCF of 322,635,442 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,37,875
37 | 37, 37, 875 |
1, 1, 875 |
∴ So the LCM of the given numbers is 37 x 1 x 1 x 875 = 32375
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 37,37,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,37,875) = 1
common factors(in case of two or more numbers have common factors) = 37
GCF(37,37,875) x common factors =1 x 37 = 37
LCM(37,37,875) = ( 37 × 37 × 875 ) / 37
LCM(37,37,875) = 1197875 / 37
LCM(37,37,875) = 32375
Lets's calculate GCF of 322,635,442
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32375/1
Therefore the LCM of Fractions 37/322,37/635,875/442 is 32375
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1,2,7,14,23,46,161,322
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Greatest Common Factor
We found the factors 322,635,442 . The biggest common factor number is the GCF number.
So the greatest common factor 322,635,442 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 37/322, 37/635, 875/442?
Answer: LCM of Numerators as per given numbers 37/322, 37/635, 875/442 is
LCM of Numerators i.e. for 37,37,875 is 32375
GCF of denominators i.e. for 322,635,442 is 1.
Thus, LCM of Fractions is 32375.Finally, LCM of Fractions for 37/322, 37/635, 875/442 is 32375.