Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 104/19, 377/62, 763/454 quickly i.e. 2301208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 104/19, 377/62, 763/454 is 2301208.
LCM(104/19, 377/62, 763/454) = 2301208
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 104/19,377/62,763/454
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 104,377,763
Least Common Multiple of Numerators i.e. LCM of 104,377,763 is 2301208.
GCF of Denominators means GCF of 19,62,454 as per the given fractions.
GCF of 19,62,454 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 104,377,763
13 | 104, 377, 763 |
8, 29, 763 |
∴ So the LCM of the given numbers is 13 x 8 x 29 x 763 = 2301208
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 104,377,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,377,763) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(104,377,763) x common factors =1 x 13 = 13
LCM(104,377,763) = ( 104 × 377 × 763 ) / 13
LCM(104,377,763) = 29915704 / 13
LCM(104,377,763) = 2301208
Lets's calculate GCF of 19,62,454
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2301208/1
Therefore the LCM of Fractions 104/19,377/62,763/454 is 2301208
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Greatest Common Factor
We found the factors 19,62,454 . The biggest common factor number is the GCF number.
So the greatest common factor 19,62,454 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 104/19, 377/62, 763/454?
Answer: LCM of Numerators as per given numbers 104/19, 377/62, 763/454 is
LCM of Numerators i.e. for 104,377,763 is 2301208
GCF of denominators i.e. for 19,62,454 is 1.
Thus, LCM of Fractions is 2301208.Finally, LCM of Fractions for 104/19, 377/62, 763/454 is 2301208.