Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 288/37, 636/10, 859/662 quickly i.e. 13111776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 288/37, 636/10, 859/662 is 13111776.
LCM(288/37, 636/10, 859/662) = 13111776
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 288/37,636/10,859/662
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 288,636,859
Least Common Multiple of Numerators i.e. LCM of 288,636,859 is 13111776.
GCF of Denominators means GCF of 37,10,662 as per the given fractions.
GCF of 37,10,662 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 288,636,859
2 | 288, 636, 859 |
2 | 144, 318, 859 |
3 | 72, 159, 859 |
24, 53, 859 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 24 x 53 x 859 = 13111776
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 288,636,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,636,859) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(288,636,859) x common factors =1 x 12 = 12
LCM(288,636,859) = ( 288 × 636 × 859 ) / 12
LCM(288,636,859) = 157341312 / 12
LCM(288,636,859) = 13111776
Lets's calculate GCF of 37,10,662
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13111776/1
Therefore the LCM of Fractions 288/37,636/10,859/662 is 13111776
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Greatest Common Factor
We found the factors 37,10,662 . The biggest common factor number is the GCF number.
So the greatest common factor 37,10,662 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 288/37, 636/10, 859/662?
Answer: LCM of Numerators as per given numbers 288/37, 636/10, 859/662 is
LCM of Numerators i.e. for 288,636,859 is 13111776
GCF of denominators i.e. for 37,10,662 is 1.
Thus, LCM of Fractions is 13111776.Finally, LCM of Fractions for 288/37, 636/10, 859/662 is 13111776.