Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 563/53, 711/62, 711/990 quickly i.e. 400293 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 563/53, 711/62, 711/990 is 400293.
LCM(563/53, 711/62, 711/990) = 400293
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 563/53,711/62,711/990
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 563,711,711
Least Common Multiple of Numerators i.e. LCM of 563,711,711 is 400293.
GCF of Denominators means GCF of 53,62,990 as per the given fractions.
GCF of 53,62,990 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 563,711,711
3 | 563, 711, 711 |
3 | 563, 237, 237 |
79 | 563, 79, 79 |
563, 1, 1 |
∴ So the LCM of the given numbers is 3 x 3 x 79 x 563 x 1 x 1 = 400293
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 563,711,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,711,711) = 1
common factors(in case of two or more numbers have common factors) = 711
GCF(563,711,711) x common factors =1 x 711 = 711
LCM(563,711,711) = ( 563 × 711 × 711 ) / 711
LCM(563,711,711) = 284608323 / 711
LCM(563,711,711) = 400293
Lets's calculate GCF of 53,62,990
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 400293/1
Therefore the LCM of Fractions 563/53,711/62,711/990 is 400293
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 53,62,990 . The biggest common factor number is the GCF number.
So the greatest common factor 53,62,990 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 563/53, 711/62, 711/990?
Answer: LCM of Numerators as per given numbers 563/53, 711/62, 711/990 is
LCM of Numerators i.e. for 563,711,711 is 400293
GCF of denominators i.e. for 53,62,990 is 1.
Thus, LCM of Fractions is 400293.Finally, LCM of Fractions for 563/53, 711/62, 711/990 is 400293.