Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5231/777, 8757/450 quickly i.e. 15269289 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5231/777, 8757/450 is 15269289.
LCM(5231/777, 8757/450) = 15269289
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5231/777,8757/450
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 5231,8757
Least Common Multiple of Numerators i.e. LCM of 5231,8757 is 45807867.
GCF of Denominators means GCF of 777,450 as per the given fractions.
GCF of 777,450 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5231,8757
Given numbers has no common factors except 1. So, there LCM is their product i.e 45807867
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 5231,8757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5231,8757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5231,8757) x common factors =1 x 1 = 1
LCM(5231,8757) = ( 5231 × 8757 ) / 1
LCM(5231,8757) = 45807867 / 1
LCM(5231,8757) = 45807867
Lets's calculate GCF of 777,450
3 | 777, 450 |
259, 150 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45807867/3
Therefore the LCM of Fractions 5231/777,8757/450 is 15269289
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Greatest Common Factor
We found the factors 777,450 . The biggest common factor number is the GCF number.
So the greatest common factor 777,450 is 3.
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 5231/777, 8757/450?
Answer: LCM of Numerators as per given numbers 5231/777, 8757/450 is
LCM of Numerators i.e. for 5231,8757 is 45807867
GCF of denominators i.e. for 777,450 is 3.
Thus, LCM of Fractions is 15269289.Finally, LCM of Fractions for 5231/777, 8757/450 is 15269289.