Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 915/69, 816/69, 567/984 quickly i.e. 15679440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 915/69, 816/69, 567/984 is 15679440.
LCM(915/69, 816/69, 567/984) = 15679440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 915/69,816/69,567/984
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 915,816,567
Least Common Multiple of Numerators i.e. LCM of 915,816,567 is 47038320.
GCF of Denominators means GCF of 69,69,984 as per the given fractions.
GCF of 69,69,984 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 915,816,567
3 | 915, 816, 567 |
305, 272, 189 |
∴ So the LCM of the given numbers is 3 x 305 x 272 x 189 = 47038320
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 915,816,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(915,816,567) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(915,816,567) x common factors =3 x 3 = 9
LCM(915,816,567) = ( 915 × 816 × 567 ) / 9
LCM(915,816,567) = 423344880 / 9
LCM(915,816,567) = 47038320
Lets's calculate GCF of 69,69,984
3 | 69, 69, 984 |
23, 23, 328 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47038320/3
Therefore the LCM of Fractions 915/69,816/69,567/984 is 15679440
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Greatest Common Factor
We found the factors 69,69,984 . The biggest common factor number is the GCF number.
So the greatest common factor 69,69,984 is 3.
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 915/69, 816/69, 567/984?
Answer: LCM of Numerators as per given numbers 915/69, 816/69, 567/984 is
LCM of Numerators i.e. for 915,816,567 is 47038320
GCF of denominators i.e. for 69,69,984 is 3.
Thus, LCM of Fractions is 15679440.Finally, LCM of Fractions for 915/69, 816/69, 567/984 is 15679440.