Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 836/26, 199/1032 quickly i.e. 83182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 836/26, 199/1032 is 83182.
LCM(836/26, 199/1032) = 83182
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 836/26,199/1032
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 836,199
Least Common Multiple of Numerators i.e. LCM of 836,199 is 166364.
GCF of Denominators means GCF of 26,1032 as per the given fractions.
GCF of 26,1032 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 836,199
Given numbers has no common factors except 1. So, there LCM is their product i.e 166364
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 836,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(836,199) x common factors =1 x 1 = 1
LCM(836,199) = ( 836 × 199 ) / 1
LCM(836,199) = 166364 / 1
LCM(836,199) = 166364
Lets's calculate GCF of 26,1032
2 | 26, 1032 |
13, 516 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166364/2
Therefore the LCM of Fractions 836/26,199/1032 is 83182
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 1032
List of positive integer factors of 1032 that divides 1032 without a remainder.
1,2,3,4,6,8,12,24,43,86,129,172,258,344,516,1032
Greatest Common Factor
We found the factors 26,1032 . The biggest common factor number is the GCF number.
So the greatest common factor 26,1032 is 2.
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 836/26, 199/1032?
Answer: LCM of Numerators as per given numbers 836/26, 199/1032 is
LCM of Numerators i.e. for 836,199 is 166364
GCF of denominators i.e. for 26,1032 is 2.
Thus, LCM of Fractions is 83182.Finally, LCM of Fractions for 836/26, 199/1032 is 83182.