Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 693/29, 498/9778 quickly i.e. 115038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 693/29, 498/9778 is 115038.
LCM(693/29, 498/9778) = 115038
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 693/29,498/9778
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 693,498
Least Common Multiple of Numerators i.e. LCM of 693,498 is 115038.
GCF of Denominators means GCF of 29,9778 as per the given fractions.
GCF of 29,9778 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 693,498
3 | 693, 498 |
231, 166 |
∴ So the LCM of the given numbers is 3 x 231 x 166 = 115038
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 693,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(693,498) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(693,498) x common factors =3 x 1 = 3
LCM(693,498) = ( 693 × 498 ) / 3
LCM(693,498) = 345114 / 3
LCM(693,498) = 115038
Lets's calculate GCF of 29,9778
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115038/1
Therefore the LCM of Fractions 693/29,498/9778 is 115038
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 9778
List of positive integer factors of 9778 that divides 9778 without a remainder.
1,2,4889,9778
Greatest Common Factor
We found the factors 29,9778 . The biggest common factor number is the GCF number.
So the greatest common factor 29,9778 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 693/29, 498/9778?
Answer: LCM of Numerators as per given numbers 693/29, 498/9778 is
LCM of Numerators i.e. for 693,498 is 115038
GCF of denominators i.e. for 29,9778 is 1.
Thus, LCM of Fractions is 115038.Finally, LCM of Fractions for 693/29, 498/9778 is 115038.