Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/651, 93/930, 912/848 quickly i.e. 932976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/651, 93/930, 912/848 is 932976.
LCM(99/651, 93/930, 912/848) = 932976
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/651,93/930,912/848
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 99,93,912
Least Common Multiple of Numerators i.e. LCM of 99,93,912 is 932976.
GCF of Denominators means GCF of 651,930,848 as per the given fractions.
GCF of 651,930,848 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,93,912
3 | 99, 93, 912 |
33, 31, 304 |
∴ So the LCM of the given numbers is 3 x 33 x 31 x 304 = 932976
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 99,93,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,93,912) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(99,93,912) x common factors =3 x 3 = 9
LCM(99,93,912) = ( 99 × 93 × 912 ) / 9
LCM(99,93,912) = 8396784 / 9
LCM(99,93,912) = 932976
Lets's calculate GCF of 651,930,848
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 932976/1
Therefore the LCM of Fractions 99/651,93/930,912/848 is 932976
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 651,930,848 . The biggest common factor number is the GCF number.
So the greatest common factor 651,930,848 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 99/651, 93/930, 912/848?
Answer: LCM of Numerators as per given numbers 99/651, 93/930, 912/848 is
LCM of Numerators i.e. for 99,93,912 is 932976
GCF of denominators i.e. for 651,930,848 is 1.
Thus, LCM of Fractions is 932976.Finally, LCM of Fractions for 99/651, 93/930, 912/848 is 932976.