Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/403, 69/113, 429/880 quickly i.e. 29601 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/403, 69/113, 429/880 is 29601.
LCM(99/403, 69/113, 429/880) = 29601
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/403,69/113,429/880
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 99,69,429
Least Common Multiple of Numerators i.e. LCM of 99,69,429 is 29601.
GCF of Denominators means GCF of 403,113,880 as per the given fractions.
GCF of 403,113,880 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,69,429
3 | 99, 69, 429 |
11 | 33, 23, 143 |
3, 23, 13 |
∴ So the LCM of the given numbers is 3 x 11 x 3 x 23 x 13 = 29601
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 99,69,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,69,429) = 3
common factors(in case of two or more numbers have common factors) = 33
GCF(99,69,429) x common factors =3 x 33 = 99
LCM(99,69,429) = ( 99 × 69 × 429 ) / 99
LCM(99,69,429) = 2930499 / 99
LCM(99,69,429) = 29601
Lets's calculate GCF of 403,113,880
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29601/1
Therefore the LCM of Fractions 99/403,69/113,429/880 is 29601
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1,113
Factors of 880
List of positive integer factors of 880 that divides 880 without a remainder.
1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 403,113,880 . The biggest common factor number is the GCF number.
So the greatest common factor 403,113,880 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 99/403, 69/113, 429/880?
Answer: LCM of Numerators as per given numbers 99/403, 69/113, 429/880 is
LCM of Numerators i.e. for 99,69,429 is 29601
GCF of denominators i.e. for 403,113,880 is 1.
Thus, LCM of Fractions is 29601.Finally, LCM of Fractions for 99/403, 69/113, 429/880 is 29601.