Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/378, 5517/7997 quickly i.e. 60687 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/378, 5517/7997 is 60687.
LCM(99/378, 5517/7997) = 60687
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/378,5517/7997
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 99,5517
Least Common Multiple of Numerators i.e. LCM of 99,5517 is 60687.
GCF of Denominators means GCF of 378,7997 as per the given fractions.
GCF of 378,7997 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,5517
3 | 99, 5517 |
3 | 33, 1839 |
11, 613 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 613 = 60687
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 99,5517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,5517) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(99,5517) x common factors =9 x 1 = 9
LCM(99,5517) = ( 99 × 5517 ) / 9
LCM(99,5517) = 546183 / 9
LCM(99,5517) = 60687
Lets's calculate GCF of 378,7997
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60687/1
Therefore the LCM of Fractions 99/378,5517/7997 is 60687
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Factors of 7997
List of positive integer factors of 7997 that divides 7997 without a remainder.
1,11,727,7997
Greatest Common Factor
We found the factors 378,7997 . The biggest common factor number is the GCF number.
So the greatest common factor 378,7997 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 99/378, 5517/7997?
Answer: LCM of Numerators as per given numbers 99/378, 5517/7997 is
LCM of Numerators i.e. for 99,5517 is 60687
GCF of denominators i.e. for 378,7997 is 1.
Thus, LCM of Fractions is 60687.Finally, LCM of Fractions for 99/378, 5517/7997 is 60687.