Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/209, 699/960, 282/761 quickly i.e. 2825358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/209, 699/960, 282/761 is 2825358.
LCM(43/209, 699/960, 282/761) = 2825358
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/209,699/960,282/761
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 43,699,282
Least Common Multiple of Numerators i.e. LCM of 43,699,282 is 2825358.
GCF of Denominators means GCF of 209,960,761 as per the given fractions.
GCF of 209,960,761 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,699,282
3 | 43, 699, 282 |
43, 233, 94 |
∴ So the LCM of the given numbers is 3 x 43 x 233 x 94 = 2825358
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 43,699,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,699,282) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(43,699,282) x common factors =1 x 3 = 3
LCM(43,699,282) = ( 43 × 699 × 282 ) / 3
LCM(43,699,282) = 8476074 / 3
LCM(43,699,282) = 2825358
Lets's calculate GCF of 209,960,761
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2825358/1
Therefore the LCM of Fractions 43/209,699/960,282/761 is 2825358
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Factors of 960
List of positive integer factors of 960 that divides 960 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1,761
Greatest Common Factor
We found the factors 209,960,761 . The biggest common factor number is the GCF number.
So the greatest common factor 209,960,761 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 43/209, 699/960, 282/761?
Answer: LCM of Numerators as per given numbers 43/209, 699/960, 282/761 is
LCM of Numerators i.e. for 43,699,282 is 2825358
GCF of denominators i.e. for 209,960,761 is 1.
Thus, LCM of Fractions is 2825358.Finally, LCM of Fractions for 43/209, 699/960, 282/761 is 2825358.