Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 368/39, 862/8943 quickly i.e. 158608/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 368/39, 862/8943 is 158608/3.
LCM(368/39, 862/8943) = 158608/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 368/39,862/8943
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 368,862
Least Common Multiple of Numerators i.e. LCM of 368,862 is 158608.
GCF of Denominators means GCF of 39,8943 as per the given fractions.
GCF of 39,8943 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 368,862
2 | 368, 862 |
184, 431 |
∴ So the LCM of the given numbers is 2 x 184 x 431 = 158608
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 368,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(368,862) x common factors =2 x 1 = 2
LCM(368,862) = ( 368 × 862 ) / 2
LCM(368,862) = 317216 / 2
LCM(368,862) = 158608
Lets's calculate GCF of 39,8943
3 | 39, 8943 |
13, 2981 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158608/3
Therefore the LCM of Fractions 368/39,862/8943 is 158608/3
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 8943
List of positive integer factors of 8943 that divides 8943 without a remainder.
1,3,11,33,271,813,2981,8943
Greatest Common Factor
We found the factors 39,8943 . The biggest common factor number is the GCF number.
So the greatest common factor 39,8943 is 3.
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 368/39, 862/8943?
Answer: LCM of Numerators as per given numbers 368/39, 862/8943 is
LCM of Numerators i.e. for 368,862 is 158608
GCF of denominators i.e. for 39,8943 is 3.
Thus, LCM of Fractions is 158608/3.Finally, LCM of Fractions for 368/39, 862/8943 is 158608/3.