Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/869, 416/720, 566/307 quickly i.e. 8829600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/869, 416/720, 566/307 is 8829600.
LCM(75/869, 416/720, 566/307) = 8829600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/869,416/720,566/307
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 75,416,566
Least Common Multiple of Numerators i.e. LCM of 75,416,566 is 8829600.
GCF of Denominators means GCF of 869,720,307 as per the given fractions.
GCF of 869,720,307 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,416,566
2 | 75, 416, 566 |
75, 208, 283 |
∴ So the LCM of the given numbers is 2 x 75 x 208 x 283 = 8829600
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 75,416,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,416,566) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(75,416,566) x common factors =1 x 2 = 2
LCM(75,416,566) = ( 75 × 416 × 566 ) / 2
LCM(75,416,566) = 17659200 / 2
LCM(75,416,566) = 8829600
Lets's calculate GCF of 869,720,307
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8829600/1
Therefore the LCM of Fractions 75/869,416/720,566/307 is 8829600
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1,11,79,869
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Factors of 307
List of positive integer factors of 307 that divides 307 without a remainder.
1,307
Greatest Common Factor
We found the factors 869,720,307 . The biggest common factor number is the GCF number.
So the greatest common factor 869,720,307 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 75/869, 416/720, 566/307?
Answer: LCM of Numerators as per given numbers 75/869, 416/720, 566/307 is
LCM of Numerators i.e. for 75,416,566 is 8829600
GCF of denominators i.e. for 869,720,307 is 1.
Thus, LCM of Fractions is 8829600.Finally, LCM of Fractions for 75/869, 416/720, 566/307 is 8829600.