Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 979/791, 238/365, 100/611 quickly i.e. 11650100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 979/791, 238/365, 100/611 is 11650100.
LCM(979/791, 238/365, 100/611) = 11650100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 979/791,238/365,100/611
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 979,238,100
Least Common Multiple of Numerators i.e. LCM of 979,238,100 is 11650100.
GCF of Denominators means GCF of 791,365,611 as per the given fractions.
GCF of 791,365,611 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 979,238,100
2 | 979, 238, 100 |
979, 119, 50 |
∴ So the LCM of the given numbers is 2 x 979 x 119 x 50 = 11650100
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 979,238,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,238,100) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(979,238,100) x common factors =1 x 2 = 2
LCM(979,238,100) = ( 979 × 238 × 100 ) / 2
LCM(979,238,100) = 23300200 / 2
LCM(979,238,100) = 11650100
Lets's calculate GCF of 791,365,611
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11650100/1
Therefore the LCM of Fractions 979/791,238/365,100/611 is 11650100
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Greatest Common Factor
We found the factors 791,365,611 . The biggest common factor number is the GCF number.
So the greatest common factor 791,365,611 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 979/791, 238/365, 100/611?
Answer: LCM of Numerators as per given numbers 979/791, 238/365, 100/611 is
LCM of Numerators i.e. for 979,238,100 is 11650100
GCF of denominators i.e. for 791,365,611 is 1.
Thus, LCM of Fractions is 11650100.Finally, LCM of Fractions for 979/791, 238/365, 100/611 is 11650100.