Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/856, 4106/8598 quickly i.e. 158081 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/856, 4106/8598 is 158081.
LCM(77/856, 4106/8598) = 158081
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/856,4106/8598
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 77,4106
Least Common Multiple of Numerators i.e. LCM of 77,4106 is 316162.
GCF of Denominators means GCF of 856,8598 as per the given fractions.
GCF of 856,8598 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,4106
Given numbers has no common factors except 1. So, there LCM is their product i.e 316162
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 77,4106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,4106) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,4106) x common factors =1 x 1 = 1
LCM(77,4106) = ( 77 × 4106 ) / 1
LCM(77,4106) = 316162 / 1
LCM(77,4106) = 316162
Lets's calculate GCF of 856,8598
2 | 856, 8598 |
428, 4299 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316162/2
Therefore the LCM of Fractions 77/856,4106/8598 is 158081
Factors of 856
List of positive integer factors of 856 that divides 856 without a remainder.
1,2,4,8,107,214,428,856
Factors of 8598
List of positive integer factors of 8598 that divides 8598 without a remainder.
1,2,3,6,1433,2866,4299,8598
Greatest Common Factor
We found the factors 856,8598 . The biggest common factor number is the GCF number.
So the greatest common factor 856,8598 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 77/856, 4106/8598?
Answer: LCM of Numerators as per given numbers 77/856, 4106/8598 is
LCM of Numerators i.e. for 77,4106 is 316162
GCF of denominators i.e. for 856,8598 is 2.
Thus, LCM of Fractions is 158081.Finally, LCM of Fractions for 77/856, 4106/8598 is 158081.