Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 264/30, 416/87, 969/774 quickly i.e. 1478048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 264/30, 416/87, 969/774 is 1478048.
LCM(264/30, 416/87, 969/774) = 1478048
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 264/30,416/87,969/774
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 264,416,969
Least Common Multiple of Numerators i.e. LCM of 264,416,969 is 4434144.
GCF of Denominators means GCF of 30,87,774 as per the given fractions.
GCF of 30,87,774 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 264,416,969
2 | 264, 416, 969 |
2 | 132, 208, 969 |
2 | 66, 104, 969 |
3 | 33, 52, 969 |
11, 52, 323 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 52 x 323 = 4434144
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 264,416,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,416,969) = 1
common factors(in case of two or more numbers have common factors) = 24
GCF(264,416,969) x common factors =1 x 24 = 24
LCM(264,416,969) = ( 264 × 416 × 969 ) / 24
LCM(264,416,969) = 106419456 / 24
LCM(264,416,969) = 4434144
Lets's calculate GCF of 30,87,774
3 | 30, 87, 774 |
10, 29, 258 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4434144/3
Therefore the LCM of Fractions 264/30,416/87,969/774 is 1478048
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Greatest Common Factor
We found the factors 30,87,774 . The biggest common factor number is the GCF number.
So the greatest common factor 30,87,774 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 264/30, 416/87, 969/774?
Answer: LCM of Numerators as per given numbers 264/30, 416/87, 969/774 is
LCM of Numerators i.e. for 264,416,969 is 4434144
GCF of denominators i.e. for 30,87,774 is 3.
Thus, LCM of Fractions is 1478048.Finally, LCM of Fractions for 264/30, 416/87, 969/774 is 1478048.