Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/37, 837/72, 237/71 quickly i.e. 528984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/37, 837/72, 237/71 is 528984.
LCM(8/37, 837/72, 237/71) = 528984
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/37,837/72,237/71
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 8,837,237
Least Common Multiple of Numerators i.e. LCM of 8,837,237 is 528984.
GCF of Denominators means GCF of 37,72,71 as per the given fractions.
GCF of 37,72,71 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,837,237
3 | 8, 837, 237 |
8, 279, 79 |
∴ So the LCM of the given numbers is 3 x 8 x 279 x 79 = 528984
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 8,837,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,837,237) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(8,837,237) x common factors =1 x 3 = 3
LCM(8,837,237) = ( 8 × 837 × 237 ) / 3
LCM(8,837,237) = 1586952 / 3
LCM(8,837,237) = 528984
Lets's calculate GCF of 37,72,71
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 528984/1
Therefore the LCM of Fractions 8/37,837/72,237/71 is 528984
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Greatest Common Factor
We found the factors 37,72,71 . The biggest common factor number is the GCF number.
So the greatest common factor 37,72,71 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 8/37, 837/72, 237/71?
Answer: LCM of Numerators as per given numbers 8/37, 837/72, 237/71 is
LCM of Numerators i.e. for 8,837,237 is 528984
GCF of denominators i.e. for 37,72,71 is 1.
Thus, LCM of Fractions is 528984.Finally, LCM of Fractions for 8/37, 837/72, 237/71 is 528984.