Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 405/567, 706/209, 456/556 quickly i.e. 21730680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 405/567, 706/209, 456/556 is 21730680.
LCM(405/567, 706/209, 456/556) = 21730680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 405/567,706/209,456/556
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 405,706,456
Least Common Multiple of Numerators i.e. LCM of 405,706,456 is 21730680.
GCF of Denominators means GCF of 567,209,556 as per the given fractions.
GCF of 567,209,556 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 405,706,456
2 | 405, 706, 456 |
3 | 405, 353, 228 |
135, 353, 76 |
∴ So the LCM of the given numbers is 2 x 3 x 135 x 353 x 76 = 21730680
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 405,706,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,706,456) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(405,706,456) x common factors =1 x 6 = 6
LCM(405,706,456) = ( 405 × 706 × 456 ) / 6
LCM(405,706,456) = 130384080 / 6
LCM(405,706,456) = 21730680
Lets's calculate GCF of 567,209,556
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21730680/1
Therefore the LCM of Fractions 405/567,706/209,456/556 is 21730680
Factors of 567
List of positive integer factors of 567 that divides 567 without a remainder.
1,3,7,9,21,27,63,81,189,567
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Greatest Common Factor
We found the factors 567,209,556 . The biggest common factor number is the GCF number.
So the greatest common factor 567,209,556 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 405/567, 706/209, 456/556?
Answer: LCM of Numerators as per given numbers 405/567, 706/209, 456/556 is
LCM of Numerators i.e. for 405,706,456 is 21730680
GCF of denominators i.e. for 567,209,556 is 1.
Thus, LCM of Fractions is 21730680.Finally, LCM of Fractions for 405/567, 706/209, 456/556 is 21730680.