Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 377/419, 186/979, 646/112 quickly i.e. 22649406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 377/419, 186/979, 646/112 is 22649406.
LCM(377/419, 186/979, 646/112) = 22649406
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 377/419,186/979,646/112
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 377,186,646
Least Common Multiple of Numerators i.e. LCM of 377,186,646 is 22649406.
GCF of Denominators means GCF of 419,979,112 as per the given fractions.
GCF of 419,979,112 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 377,186,646
2 | 377, 186, 646 |
377, 93, 323 |
∴ So the LCM of the given numbers is 2 x 377 x 93 x 323 = 22649406
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 377,186,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,186,646) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(377,186,646) x common factors =1 x 2 = 2
LCM(377,186,646) = ( 377 × 186 × 646 ) / 2
LCM(377,186,646) = 45298812 / 2
LCM(377,186,646) = 22649406
Lets's calculate GCF of 419,979,112
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22649406/1
Therefore the LCM of Fractions 377/419,186/979,646/112 is 22649406
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1,11,89,979
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Greatest Common Factor
We found the factors 419,979,112 . The biggest common factor number is the GCF number.
So the greatest common factor 419,979,112 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 377/419, 186/979, 646/112?
Answer: LCM of Numerators as per given numbers 377/419, 186/979, 646/112 is
LCM of Numerators i.e. for 377,186,646 is 22649406
GCF of denominators i.e. for 419,979,112 is 1.
Thus, LCM of Fractions is 22649406.Finally, LCM of Fractions for 377/419, 186/979, 646/112 is 22649406.