Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/777, 85/888 quickly i.e. 7055/111 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/777, 85/888 is 7055/111.
LCM(83/777, 85/888) = 7055/111
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/777,85/888
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 83,85
Least Common Multiple of Numerators i.e. LCM of 83,85 is 7055.
GCF of Denominators means GCF of 777,888 as per the given fractions.
GCF of 777,888 is 111 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,85
Given numbers has no common factors except 1. So, there LCM is their product i.e 7055
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 83,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,85) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,85) x common factors =1 x 1 = 1
LCM(83,85) = ( 83 × 85 ) / 1
LCM(83,85) = 7055 / 1
LCM(83,85) = 7055
Lets's calculate GCF of 777,888
3 | 777, 888 |
37 | 259, 296 |
7, 8 |
∴ So the GCF of the given numbers is 3 x 37 = 111
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7055/111
Therefore the LCM of Fractions 83/777,85/888 is 7055/111
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Greatest Common Factor
We found the factors 777,888 . The biggest common factor number is the GCF number.
So the greatest common factor 777,888 is 111.
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 83/777, 85/888?
Answer: LCM of Numerators as per given numbers 83/777, 85/888 is
LCM of Numerators i.e. for 83,85 is 7055
GCF of denominators i.e. for 777,888 is 111.
Thus, LCM of Fractions is 7055/111.Finally, LCM of Fractions for 83/777, 85/888 is 7055/111.