Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 357/99, 529/2992 quickly i.e. 188853/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 357/99, 529/2992 is 188853/11.
LCM(357/99, 529/2992) = 188853/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 357/99,529/2992
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 357,529
Least Common Multiple of Numerators i.e. LCM of 357,529 is 188853.
GCF of Denominators means GCF of 99,2992 as per the given fractions.
GCF of 99,2992 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 357,529
Given numbers has no common factors except 1. So, there LCM is their product i.e 188853
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 357,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(357,529) x common factors =1 x 1 = 1
LCM(357,529) = ( 357 × 529 ) / 1
LCM(357,529) = 188853 / 1
LCM(357,529) = 188853
Lets's calculate GCF of 99,2992
11 | 99, 2992 |
9, 272 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188853/11
Therefore the LCM of Fractions 357/99,529/2992 is 188853/11
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 2992
List of positive integer factors of 2992 that divides 2992 without a remainder.
1,2,4,8,11,16,17,22,34,44,68,88,136,176,187,272,374,748,1496,2992
Greatest Common Factor
We found the factors 99,2992 . The biggest common factor number is the GCF number.
So the greatest common factor 99,2992 is 11.
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 357/99, 529/2992?
Answer: LCM of Numerators as per given numbers 357/99, 529/2992 is
LCM of Numerators i.e. for 357,529 is 188853
GCF of denominators i.e. for 99,2992 is 11.
Thus, LCM of Fractions is 188853/11.Finally, LCM of Fractions for 357/99, 529/2992 is 188853/11.