Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/835, 132/189, 888/985 quickly i.e. 9768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/835, 132/189, 888/985 is 9768.
LCM(37/835, 132/189, 888/985) = 9768
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/835,132/189,888/985
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 37,132,888
Least Common Multiple of Numerators i.e. LCM of 37,132,888 is 9768.
GCF of Denominators means GCF of 835,189,985 as per the given fractions.
GCF of 835,189,985 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,132,888
2 | 37, 132, 888 |
2 | 37, 66, 444 |
3 | 37, 33, 222 |
37 | 37, 11, 74 |
1, 11, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 37 x 1 x 11 x 2 = 9768
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 37,132,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,132,888) = 1
common factors(in case of two or more numbers have common factors) = 444
GCF(37,132,888) x common factors =1 x 444 = 444
LCM(37,132,888) = ( 37 × 132 × 888 ) / 444
LCM(37,132,888) = 4336992 / 444
LCM(37,132,888) = 9768
Lets's calculate GCF of 835,189,985
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9768/1
Therefore the LCM of Fractions 37/835,132/189,888/985 is 9768
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 189
List of positive integer factors of 189 that divides 189 without a remainder.
1,3,7,9,21,27,63,189
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Greatest Common Factor
We found the factors 835,189,985 . The biggest common factor number is the GCF number.
So the greatest common factor 835,189,985 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 37/835, 132/189, 888/985?
Answer: LCM of Numerators as per given numbers 37/835, 132/189, 888/985 is
LCM of Numerators i.e. for 37,132,888 is 9768
GCF of denominators i.e. for 835,189,985 is 1.
Thus, LCM of Fractions is 9768.Finally, LCM of Fractions for 37/835, 132/189, 888/985 is 9768.