Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4770/860, 5267/5387 quickly i.e. 25123590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4770/860, 5267/5387 is 25123590.
LCM(4770/860, 5267/5387) = 25123590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4770/860,5267/5387
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 4770,5267
Least Common Multiple of Numerators i.e. LCM of 4770,5267 is 25123590.
GCF of Denominators means GCF of 860,5387 as per the given fractions.
GCF of 860,5387 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4770,5267
Given numbers has no common factors except 1. So, there LCM is their product i.e 25123590
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 4770,5267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4770,5267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4770,5267) x common factors =1 x 1 = 1
LCM(4770,5267) = ( 4770 × 5267 ) / 1
LCM(4770,5267) = 25123590 / 1
LCM(4770,5267) = 25123590
Lets's calculate GCF of 860,5387
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25123590/1
Therefore the LCM of Fractions 4770/860,5267/5387 is 25123590
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Factors of 5387
List of positive integer factors of 5387 that divides 5387 without a remainder.
1,5387
Greatest Common Factor
We found the factors 860,5387 . The biggest common factor number is the GCF number.
So the greatest common factor 860,5387 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 4770/860, 5267/5387?
Answer: LCM of Numerators as per given numbers 4770/860, 5267/5387 is
LCM of Numerators i.e. for 4770,5267 is 25123590
GCF of denominators i.e. for 860,5387 is 1.
Thus, LCM of Fractions is 25123590.Finally, LCM of Fractions for 4770/860, 5267/5387 is 25123590.