Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 777/433, 4260/5984 quickly i.e. 1103340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 777/433, 4260/5984 is 1103340.
LCM(777/433, 4260/5984) = 1103340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 777/433,4260/5984
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 777,4260
Least Common Multiple of Numerators i.e. LCM of 777,4260 is 1103340.
GCF of Denominators means GCF of 433,5984 as per the given fractions.
GCF of 433,5984 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 777,4260
3 | 777, 4260 |
259, 1420 |
∴ So the LCM of the given numbers is 3 x 259 x 1420 = 1103340
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 777,4260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,4260) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(777,4260) x common factors =3 x 1 = 3
LCM(777,4260) = ( 777 × 4260 ) / 3
LCM(777,4260) = 3310020 / 3
LCM(777,4260) = 1103340
Lets's calculate GCF of 433,5984
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1103340/1
Therefore the LCM of Fractions 777/433,4260/5984 is 1103340
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Factors of 5984
List of positive integer factors of 5984 that divides 5984 without a remainder.
1,2,4,8,11,16,17,22,32,34,44,68,88,136,176,187,272,352,374,544,748,1496,2992,5984
Greatest Common Factor
We found the factors 433,5984 . The biggest common factor number is the GCF number.
So the greatest common factor 433,5984 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 777/433, 4260/5984?
Answer: LCM of Numerators as per given numbers 777/433, 4260/5984 is
LCM of Numerators i.e. for 777,4260 is 1103340
GCF of denominators i.e. for 433,5984 is 1.
Thus, LCM of Fractions is 1103340.Finally, LCM of Fractions for 777/433, 4260/5984 is 1103340.