Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/946, 15/385 quickly i.e. 45 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/946, 15/385 is 45.
LCM(99/946, 15/385) = 45
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/946,15/385
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 99,15
Least Common Multiple of Numerators i.e. LCM of 99,15 is 495.
GCF of Denominators means GCF of 946,385 as per the given fractions.
GCF of 946,385 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,15
3 | 99, 15 |
33, 5 |
∴ So the LCM of the given numbers is 3 x 33 x 5 = 495
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 99,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,15) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(99,15) x common factors =3 x 1 = 3
LCM(99,15) = ( 99 × 15 ) / 3
LCM(99,15) = 1485 / 3
LCM(99,15) = 495
Lets's calculate GCF of 946,385
11 | 946, 385 |
86, 35 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 495/11
Therefore the LCM of Fractions 99/946,15/385 is 45
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 946,385 . The biggest common factor number is the GCF number.
So the greatest common factor 946,385 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 99/946, 15/385?
Answer: LCM of Numerators as per given numbers 99/946, 15/385 is
LCM of Numerators i.e. for 99,15 is 495
GCF of denominators i.e. for 946,385 is 11.
Thus, LCM of Fractions is 45.Finally, LCM of Fractions for 99/946, 15/385 is 45.