Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/63, 280/14, 997/494 quickly i.e. 8653960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/63, 280/14, 997/494 is 8653960.
LCM(62/63, 280/14, 997/494) = 8653960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/63,280/14,997/494
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 62,280,997
Least Common Multiple of Numerators i.e. LCM of 62,280,997 is 8653960.
GCF of Denominators means GCF of 63,14,494 as per the given fractions.
GCF of 63,14,494 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,280,997
2 | 62, 280, 997 |
31, 140, 997 |
∴ So the LCM of the given numbers is 2 x 31 x 140 x 997 = 8653960
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 62,280,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,280,997) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,280,997) x common factors =1 x 2 = 2
LCM(62,280,997) = ( 62 × 280 × 997 ) / 2
LCM(62,280,997) = 17307920 / 2
LCM(62,280,997) = 8653960
Lets's calculate GCF of 63,14,494
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8653960/1
Therefore the LCM of Fractions 62/63,280/14,997/494 is 8653960
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Greatest Common Factor
We found the factors 63,14,494 . The biggest common factor number is the GCF number.
So the greatest common factor 63,14,494 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 62/63, 280/14, 997/494?
Answer: LCM of Numerators as per given numbers 62/63, 280/14, 997/494 is
LCM of Numerators i.e. for 62,280,997 is 8653960
GCF of denominators i.e. for 63,14,494 is 1.
Thus, LCM of Fractions is 8653960.Finally, LCM of Fractions for 62/63, 280/14, 997/494 is 8653960.