Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 205/46, 414/95, 999/636 quickly i.e. 9420570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 205/46, 414/95, 999/636 is 9420570.
LCM(205/46, 414/95, 999/636) = 9420570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 205/46,414/95,999/636
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 205,414,999
Least Common Multiple of Numerators i.e. LCM of 205,414,999 is 9420570.
GCF of Denominators means GCF of 46,95,636 as per the given fractions.
GCF of 46,95,636 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 205,414,999
3 | 205, 414, 999 |
3 | 205, 138, 333 |
205, 46, 111 |
∴ So the LCM of the given numbers is 3 x 3 x 205 x 46 x 111 = 9420570
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 205,414,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,414,999) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(205,414,999) x common factors =1 x 9 = 9
LCM(205,414,999) = ( 205 × 414 × 999 ) / 9
LCM(205,414,999) = 84785130 / 9
LCM(205,414,999) = 9420570
Lets's calculate GCF of 46,95,636
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9420570/1
Therefore the LCM of Fractions 205/46,414/95,999/636 is 9420570
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Greatest Common Factor
We found the factors 46,95,636 . The biggest common factor number is the GCF number.
So the greatest common factor 46,95,636 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 205/46, 414/95, 999/636?
Answer: LCM of Numerators as per given numbers 205/46, 414/95, 999/636 is
LCM of Numerators i.e. for 205,414,999 is 9420570
GCF of denominators i.e. for 46,95,636 is 1.
Thus, LCM of Fractions is 9420570.Finally, LCM of Fractions for 205/46, 414/95, 999/636 is 9420570.