Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/285, 21/771, 88/441 quickly i.e. 616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/285, 21/771, 88/441 is 616.
LCM(1/285, 21/771, 88/441) = 616
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/285,21/771,88/441
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 1,21,88
Least Common Multiple of Numerators i.e. LCM of 1,21,88 is 1848.
GCF of Denominators means GCF of 285,771,441 as per the given fractions.
GCF of 285,771,441 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,21,88
Given numbers has no common factors except 1. So, there LCM is their product i.e 1848
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 1,21,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,21,88) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,21,88) x common factors =1 x 1 = 1
LCM(1,21,88) = ( 1 × 21 × 88 ) / 1
LCM(1,21,88) = 1848 / 1
LCM(1,21,88) = 1848
Lets's calculate GCF of 285,771,441
3 | 285, 771, 441 |
95, 257, 147 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1848/3
Therefore the LCM of Fractions 1/285,21/771,88/441 is 616
Factors of 285
List of positive integer factors of 285 that divides 285 without a remainder.
1,3,5,15,19,57,95,285
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
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 285,771,441 . The biggest common factor number is the GCF number.
So the greatest common factor 285,771,441 is 3.
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 1/285, 21/771, 88/441?
Answer: LCM of Numerators as per given numbers 1/285, 21/771, 88/441 is
LCM of Numerators i.e. for 1,21,88 is 1848
GCF of denominators i.e. for 285,771,441 is 3.
Thus, LCM of Fractions is 616.Finally, LCM of Fractions for 1/285, 21/771, 88/441 is 616.