Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 650/919, 4014/8077 quickly i.e. 1304550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 650/919, 4014/8077 is 1304550.
LCM(650/919, 4014/8077) = 1304550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 650/919,4014/8077
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 650,4014
Least Common Multiple of Numerators i.e. LCM of 650,4014 is 1304550.
GCF of Denominators means GCF of 919,8077 as per the given fractions.
GCF of 919,8077 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 650,4014
2 | 650, 4014 |
325, 2007 |
∴ So the LCM of the given numbers is 2 x 325 x 2007 = 1304550
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 650,4014 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,4014) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(650,4014) x common factors =2 x 1 = 2
LCM(650,4014) = ( 650 × 4014 ) / 2
LCM(650,4014) = 2609100 / 2
LCM(650,4014) = 1304550
Lets's calculate GCF of 919,8077
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1304550/1
Therefore the LCM of Fractions 650/919,4014/8077 is 1304550
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Factors of 8077
List of positive integer factors of 8077 that divides 8077 without a remainder.
1,41,197,8077
Greatest Common Factor
We found the factors 919,8077 . The biggest common factor number is the GCF number.
So the greatest common factor 919,8077 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 650/919, 4014/8077?
Answer: LCM of Numerators as per given numbers 650/919, 4014/8077 is
LCM of Numerators i.e. for 650,4014 is 1304550
GCF of denominators i.e. for 919,8077 is 1.
Thus, LCM of Fractions is 1304550.Finally, LCM of Fractions for 650/919, 4014/8077 is 1304550.