Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1523/216, 7517/924 quickly i.e. 11448391/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1523/216, 7517/924 is 11448391/12.
LCM(1523/216, 7517/924) = 11448391/12
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1523/216,7517/924
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 1523,7517
Least Common Multiple of Numerators i.e. LCM of 1523,7517 is 11448391.
GCF of Denominators means GCF of 216,924 as per the given fractions.
GCF of 216,924 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1523,7517
Given numbers has no common factors except 1. So, there LCM is their product i.e 11448391
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 1523,7517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1523,7517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1523,7517) x common factors =1 x 1 = 1
LCM(1523,7517) = ( 1523 × 7517 ) / 1
LCM(1523,7517) = 11448391 / 1
LCM(1523,7517) = 11448391
Lets's calculate GCF of 216,924
2 | 216, 924 |
2 | 108, 462 |
3 | 54, 231 |
18, 77 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11448391/12
Therefore the LCM of Fractions 1523/216,7517/924 is 11448391/12
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
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 216,924 . The biggest common factor number is the GCF number.
So the greatest common factor 216,924 is 12.
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 1523/216, 7517/924?
Answer: LCM of Numerators as per given numbers 1523/216, 7517/924 is
LCM of Numerators i.e. for 1523,7517 is 11448391
GCF of denominators i.e. for 216,924 is 12.
Thus, LCM of Fractions is 11448391/12.Finally, LCM of Fractions for 1523/216, 7517/924 is 11448391/12.