Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 876/879, 7998/4218 quickly i.e. 389236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 876/879, 7998/4218 is 389236.
LCM(876/879, 7998/4218) = 389236
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 876/879,7998/4218
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 876,7998
Least Common Multiple of Numerators i.e. LCM of 876,7998 is 1167708.
GCF of Denominators means GCF of 879,4218 as per the given fractions.
GCF of 879,4218 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 876,7998
2 | 876, 7998 |
3 | 438, 3999 |
146, 1333 |
∴ So the LCM of the given numbers is 2 x 3 x 146 x 1333 = 1167708
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 876,7998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,7998) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(876,7998) x common factors =6 x 1 = 6
LCM(876,7998) = ( 876 × 7998 ) / 6
LCM(876,7998) = 7006248 / 6
LCM(876,7998) = 1167708
Lets's calculate GCF of 879,4218
3 | 879, 4218 |
293, 1406 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1167708/3
Therefore the LCM of Fractions 876/879,7998/4218 is 389236
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Factors of 4218
List of positive integer factors of 4218 that divides 4218 without a remainder.
1,2,3,6,19,37,38,57,74,111,114,222,703,1406,2109,4218
Greatest Common Factor
We found the factors 879,4218 . The biggest common factor number is the GCF number.
So the greatest common factor 879,4218 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 876/879, 7998/4218?
Answer: LCM of Numerators as per given numbers 876/879, 7998/4218 is
LCM of Numerators i.e. for 876,7998 is 1167708
GCF of denominators i.e. for 879,4218 is 3.
Thus, LCM of Fractions is 389236.Finally, LCM of Fractions for 876/879, 7998/4218 is 389236.