Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/860, 596/665, 862/588 quickly i.e. 9504412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/860, 596/665, 862/588 is 9504412.
LCM(37/860, 596/665, 862/588) = 9504412
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/860,596/665,862/588
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 37,596,862
Least Common Multiple of Numerators i.e. LCM of 37,596,862 is 9504412.
GCF of Denominators means GCF of 860,665,588 as per the given fractions.
GCF of 860,665,588 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,596,862
2 | 37, 596, 862 |
37, 298, 431 |
∴ So the LCM of the given numbers is 2 x 37 x 298 x 431 = 9504412
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 37,596,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,596,862) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(37,596,862) x common factors =1 x 2 = 2
LCM(37,596,862) = ( 37 × 596 × 862 ) / 2
LCM(37,596,862) = 19008824 / 2
LCM(37,596,862) = 9504412
Lets's calculate GCF of 860,665,588
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9504412/1
Therefore the LCM of Fractions 37/860,596/665,862/588 is 9504412
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Greatest Common Factor
We found the factors 860,665,588 . The biggest common factor number is the GCF number.
So the greatest common factor 860,665,588 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 37/860, 596/665, 862/588?
Answer: LCM of Numerators as per given numbers 37/860, 596/665, 862/588 is
LCM of Numerators i.e. for 37,596,862 is 9504412
GCF of denominators i.e. for 860,665,588 is 1.
Thus, LCM of Fractions is 9504412.Finally, LCM of Fractions for 37/860, 596/665, 862/588 is 9504412.