Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/63, 30/91, 95/924 quickly i.e. 18810/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/63, 30/91, 95/924 is 18810/7.
LCM(99/63, 30/91, 95/924) = 18810/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/63,30/91,95/924
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 99,30,95
Least Common Multiple of Numerators i.e. LCM of 99,30,95 is 18810.
GCF of Denominators means GCF of 63,91,924 as per the given fractions.
GCF of 63,91,924 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,30,95
3 | 99, 30, 95 |
5 | 33, 10, 95 |
33, 2, 19 |
∴ So the LCM of the given numbers is 3 x 5 x 33 x 2 x 19 = 18810
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 99,30,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,30,95) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(99,30,95) x common factors =1 x 15 = 15
LCM(99,30,95) = ( 99 × 30 × 95 ) / 15
LCM(99,30,95) = 282150 / 15
LCM(99,30,95) = 18810
Lets's calculate GCF of 63,91,924
7 | 63, 91, 924 |
9, 13, 132 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18810/7
Therefore the LCM of Fractions 99/63,30/91,95/924 is 18810/7
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 924
List of positive integer factors of 924 that divides 924 without a remainder.
1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Greatest Common Factor
We found the factors 63,91,924 . The biggest common factor number is the GCF number.
So the greatest common factor 63,91,924 is 7.
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 99/63, 30/91, 95/924?
Answer: LCM of Numerators as per given numbers 99/63, 30/91, 95/924 is
LCM of Numerators i.e. for 99,30,95 is 18810
GCF of denominators i.e. for 63,91,924 is 7.
Thus, LCM of Fractions is 18810/7.Finally, LCM of Fractions for 99/63, 30/91, 95/924 is 18810/7.