Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 473/21, 930/11, 735/441 quickly i.e. 21554610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 473/21, 930/11, 735/441 is 21554610.
LCM(473/21, 930/11, 735/441) = 21554610
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 473/21,930/11,735/441
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 473,930,735
Least Common Multiple of Numerators i.e. LCM of 473,930,735 is 21554610.
GCF of Denominators means GCF of 21,11,441 as per the given fractions.
GCF of 21,11,441 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 473,930,735
3 | 473, 930, 735 |
5 | 473, 310, 245 |
473, 62, 49 |
∴ So the LCM of the given numbers is 3 x 5 x 473 x 62 x 49 = 21554610
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 473,930,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,930,735) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(473,930,735) x common factors =1 x 15 = 15
LCM(473,930,735) = ( 473 × 930 × 735 ) / 15
LCM(473,930,735) = 323319150 / 15
LCM(473,930,735) = 21554610
Lets's calculate GCF of 21,11,441
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21554610/1
Therefore the LCM of Fractions 473/21,930/11,735/441 is 21554610
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Greatest Common Factor
We found the factors 21,11,441 . The biggest common factor number is the GCF number.
So the greatest common factor 21,11,441 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 473/21, 930/11, 735/441?
Answer: LCM of Numerators as per given numbers 473/21, 930/11, 735/441 is
LCM of Numerators i.e. for 473,930,735 is 21554610
GCF of denominators i.e. for 21,11,441 is 1.
Thus, LCM of Fractions is 21554610.Finally, LCM of Fractions for 473/21, 930/11, 735/441 is 21554610.