Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 820/86, 158/6877 quickly i.e. 64780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 820/86, 158/6877 is 64780.
LCM(820/86, 158/6877) = 64780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 820/86,158/6877
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 820,158
Least Common Multiple of Numerators i.e. LCM of 820,158 is 64780.
GCF of Denominators means GCF of 86,6877 as per the given fractions.
GCF of 86,6877 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 820,158
2 | 820, 158 |
410, 79 |
∴ So the LCM of the given numbers is 2 x 410 x 79 = 64780
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 820,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,158) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(820,158) x common factors =2 x 1 = 2
LCM(820,158) = ( 820 × 158 ) / 2
LCM(820,158) = 129560 / 2
LCM(820,158) = 64780
Lets's calculate GCF of 86,6877
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64780/1
Therefore the LCM of Fractions 820/86,158/6877 is 64780
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 6877
List of positive integer factors of 6877 that divides 6877 without a remainder.
1,13,23,299,529,6877
Greatest Common Factor
We found the factors 86,6877 . The biggest common factor number is the GCF number.
So the greatest common factor 86,6877 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 820/86, 158/6877?
Answer: LCM of Numerators as per given numbers 820/86, 158/6877 is
LCM of Numerators i.e. for 820,158 is 64780
GCF of denominators i.e. for 86,6877 is 1.
Thus, LCM of Fractions is 64780.Finally, LCM of Fractions for 820/86, 158/6877 is 64780.