Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8058/987, 6924/7368 quickly i.e. 3099644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8058/987, 6924/7368 is 3099644.
LCM(8058/987, 6924/7368) = 3099644
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8058/987,6924/7368
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 8058,6924
Least Common Multiple of Numerators i.e. LCM of 8058,6924 is 9298932.
GCF of Denominators means GCF of 987,7368 as per the given fractions.
GCF of 987,7368 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8058,6924
2 | 8058, 6924 |
3 | 4029, 3462 |
1343, 1154 |
∴ So the LCM of the given numbers is 2 x 3 x 1343 x 1154 = 9298932
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 8058,6924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8058,6924) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(8058,6924) x common factors =6 x 1 = 6
LCM(8058,6924) = ( 8058 × 6924 ) / 6
LCM(8058,6924) = 55793592 / 6
LCM(8058,6924) = 9298932
Lets's calculate GCF of 987,7368
3 | 987, 7368 |
329, 2456 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9298932/3
Therefore the LCM of Fractions 8058/987,6924/7368 is 3099644
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1,3,7,21,47,141,329,987
Factors of 7368
List of positive integer factors of 7368 that divides 7368 without a remainder.
1,2,3,4,6,8,12,24,307,614,921,1228,1842,2456,3684,7368
Greatest Common Factor
We found the factors 987,7368 . The biggest common factor number is the GCF number.
So the greatest common factor 987,7368 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 8058/987, 6924/7368?
Answer: LCM of Numerators as per given numbers 8058/987, 6924/7368 is
LCM of Numerators i.e. for 8058,6924 is 9298932
GCF of denominators i.e. for 987,7368 is 3.
Thus, LCM of Fractions is 3099644.Finally, LCM of Fractions for 8058/987, 6924/7368 is 3099644.