Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/980, 866/385, 999/288 quickly i.e. 4325670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/980, 866/385, 999/288 is 4325670.
LCM(45/980, 866/385, 999/288) = 4325670
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/980,866/385,999/288
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 45,866,999
Least Common Multiple of Numerators i.e. LCM of 45,866,999 is 4325670.
GCF of Denominators means GCF of 980,385,288 as per the given fractions.
GCF of 980,385,288 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,866,999
3 | 45, 866, 999 |
3 | 15, 866, 333 |
5, 866, 111 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 866 x 111 = 4325670
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 45,866,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,866,999) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(45,866,999) x common factors =1 x 9 = 9
LCM(45,866,999) = ( 45 × 866 × 999 ) / 9
LCM(45,866,999) = 38931030 / 9
LCM(45,866,999) = 4325670
Lets's calculate GCF of 980,385,288
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4325670/1
Therefore the LCM of Fractions 45/980,866/385,999/288 is 4325670
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Factors of 288
List of positive integer factors of 288 that divides 288 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 980,385,288 . The biggest common factor number is the GCF number.
So the greatest common factor 980,385,288 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 45/980, 866/385, 999/288?
Answer: LCM of Numerators as per given numbers 45/980, 866/385, 999/288 is
LCM of Numerators i.e. for 45,866,999 is 4325670
GCF of denominators i.e. for 980,385,288 is 1.
Thus, LCM of Fractions is 4325670.Finally, LCM of Fractions for 45/980, 866/385, 999/288 is 4325670.