Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5518/368, 6408/981 quickly i.e. 198648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5518/368, 6408/981 is 198648.
LCM(5518/368, 6408/981) = 198648
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5518/368,6408/981
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 5518,6408
Least Common Multiple of Numerators i.e. LCM of 5518,6408 is 198648.
GCF of Denominators means GCF of 368,981 as per the given fractions.
GCF of 368,981 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5518,6408
2 | 5518, 6408 |
89 | 2759, 3204 |
31, 36 |
∴ So the LCM of the given numbers is 2 x 89 x 31 x 36 = 198648
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 5518,6408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5518,6408) = 178
common factors(in case of two or more numbers have common factors) = 1
GCF(5518,6408) x common factors =178 x 1 = 178
LCM(5518,6408) = ( 5518 × 6408 ) / 178
LCM(5518,6408) = 35359344 / 178
LCM(5518,6408) = 198648
Lets's calculate GCF of 368,981
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198648/1
Therefore the LCM of Fractions 5518/368,6408/981 is 198648
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Greatest Common Factor
We found the factors 368,981 . The biggest common factor number is the GCF number.
So the greatest common factor 368,981 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 5518/368, 6408/981?
Answer: LCM of Numerators as per given numbers 5518/368, 6408/981 is
LCM of Numerators i.e. for 5518,6408 is 198648
GCF of denominators i.e. for 368,981 is 1.
Thus, LCM of Fractions is 198648.Finally, LCM of Fractions for 5518/368, 6408/981 is 198648.