Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 366/10, 633/79, 264/530 quickly i.e. 3397944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 366/10, 633/79, 264/530 is 3397944.
LCM(366/10, 633/79, 264/530) = 3397944
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 366/10,633/79,264/530
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 366,633,264
Least Common Multiple of Numerators i.e. LCM of 366,633,264 is 3397944.
GCF of Denominators means GCF of 10,79,530 as per the given fractions.
GCF of 10,79,530 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 366,633,264
2 | 366, 633, 264 |
3 | 183, 633, 132 |
61, 211, 44 |
∴ So the LCM of the given numbers is 2 x 3 x 61 x 211 x 44 = 3397944
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 366,633,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,633,264) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(366,633,264) x common factors =3 x 6 = 18
LCM(366,633,264) = ( 366 × 633 × 264 ) / 18
LCM(366,633,264) = 61162992 / 18
LCM(366,633,264) = 3397944
Lets's calculate GCF of 10,79,530
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3397944/1
Therefore the LCM of Fractions 366/10,633/79,264/530 is 3397944
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Greatest Common Factor
We found the factors 10,79,530 . The biggest common factor number is the GCF number.
So the greatest common factor 10,79,530 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 366/10, 633/79, 264/530?
Answer: LCM of Numerators as per given numbers 366/10, 633/79, 264/530 is
LCM of Numerators i.e. for 366,633,264 is 3397944
GCF of denominators i.e. for 10,79,530 is 1.
Thus, LCM of Fractions is 3397944.Finally, LCM of Fractions for 366/10, 633/79, 264/530 is 3397944.