Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 446/58, 438/92, 645/544 quickly i.e. 10499955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 446/58, 438/92, 645/544 is 10499955.
LCM(446/58, 438/92, 645/544) = 10499955
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 446/58,438/92,645/544
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 446,438,645
Least Common Multiple of Numerators i.e. LCM of 446,438,645 is 20999910.
GCF of Denominators means GCF of 58,92,544 as per the given fractions.
GCF of 58,92,544 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 446,438,645
2 | 446, 438, 645 |
3 | 223, 219, 645 |
223, 73, 215 |
∴ So the LCM of the given numbers is 2 x 3 x 223 x 73 x 215 = 20999910
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 446,438,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,438,645) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(446,438,645) x common factors =1 x 6 = 6
LCM(446,438,645) = ( 446 × 438 × 645 ) / 6
LCM(446,438,645) = 125999460 / 6
LCM(446,438,645) = 20999910
Lets's calculate GCF of 58,92,544
2 | 58, 92, 544 |
29, 46, 272 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20999910/2
Therefore the LCM of Fractions 446/58,438/92,645/544 is 10499955
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Greatest Common Factor
We found the factors 58,92,544 . The biggest common factor number is the GCF number.
So the greatest common factor 58,92,544 is 2.
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 446/58, 438/92, 645/544?
Answer: LCM of Numerators as per given numbers 446/58, 438/92, 645/544 is
LCM of Numerators i.e. for 446,438,645 is 20999910
GCF of denominators i.e. for 58,92,544 is 2.
Thus, LCM of Fractions is 10499955.Finally, LCM of Fractions for 446/58, 438/92, 645/544 is 10499955.