Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 859/42, 212/8346 quickly i.e. 182108/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 859/42, 212/8346 is 182108/6.
LCM(859/42, 212/8346) = 182108/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 859/42,212/8346
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 859,212
Least Common Multiple of Numerators i.e. LCM of 859,212 is 182108.
GCF of Denominators means GCF of 42,8346 as per the given fractions.
GCF of 42,8346 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 859,212
Given numbers has no common factors except 1. So, there LCM is their product i.e 182108
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 859,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,212) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,212) x common factors =1 x 1 = 1
LCM(859,212) = ( 859 × 212 ) / 1
LCM(859,212) = 182108 / 1
LCM(859,212) = 182108
Lets's calculate GCF of 42,8346
2 | 42, 8346 |
3 | 21, 4173 |
7, 1391 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182108/6
Therefore the LCM of Fractions 859/42,212/8346 is 182108/6
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 8346
List of positive integer factors of 8346 that divides 8346 without a remainder.
1,2,3,6,13,26,39,78,107,214,321,642,1391,2782,4173,8346
Greatest Common Factor
We found the factors 42,8346 . The biggest common factor number is the GCF number.
So the greatest common factor 42,8346 is 6.
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 859/42, 212/8346?
Answer: LCM of Numerators as per given numbers 859/42, 212/8346 is
LCM of Numerators i.e. for 859,212 is 182108
GCF of denominators i.e. for 42,8346 is 6.
Thus, LCM of Fractions is 182108/6.Finally, LCM of Fractions for 859/42, 212/8346 is 182108/6.