Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 107/109, 832/644, 916/722 quickly i.e. 20386496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 107/109, 832/644, 916/722 is 20386496.
LCM(107/109, 832/644, 916/722) = 20386496
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 107/109,832/644,916/722
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 107,832,916
Least Common Multiple of Numerators i.e. LCM of 107,832,916 is 20386496.
GCF of Denominators means GCF of 109,644,722 as per the given fractions.
GCF of 109,644,722 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 107,832,916
2 | 107, 832, 916 |
2 | 107, 416, 458 |
107, 208, 229 |
∴ So the LCM of the given numbers is 2 x 2 x 107 x 208 x 229 = 20386496
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 107,832,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,832,916) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(107,832,916) x common factors =1 x 4 = 4
LCM(107,832,916) = ( 107 × 832 × 916 ) / 4
LCM(107,832,916) = 81545984 / 4
LCM(107,832,916) = 20386496
Lets's calculate GCF of 109,644,722
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20386496/1
Therefore the LCM of Fractions 107/109,832/644,916/722 is 20386496
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Greatest Common Factor
We found the factors 109,644,722 . The biggest common factor number is the GCF number.
So the greatest common factor 109,644,722 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 107/109, 832/644, 916/722?
Answer: LCM of Numerators as per given numbers 107/109, 832/644, 916/722 is
LCM of Numerators i.e. for 107,832,916 is 20386496
GCF of denominators i.e. for 109,644,722 is 1.
Thus, LCM of Fractions is 20386496.Finally, LCM of Fractions for 107/109, 832/644, 916/722 is 20386496.