Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8911/48, 6082/562 quickly i.e. 27098351 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8911/48, 6082/562 is 27098351.
LCM(8911/48, 6082/562) = 27098351
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8911/48,6082/562
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 8911,6082
Least Common Multiple of Numerators i.e. LCM of 8911,6082 is 54196702.
GCF of Denominators means GCF of 48,562 as per the given fractions.
GCF of 48,562 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8911,6082
Given numbers has no common factors except 1. So, there LCM is their product i.e 54196702
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 8911,6082 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8911,6082) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8911,6082) x common factors =1 x 1 = 1
LCM(8911,6082) = ( 8911 × 6082 ) / 1
LCM(8911,6082) = 54196702 / 1
LCM(8911,6082) = 54196702
Lets's calculate GCF of 48,562
2 | 48, 562 |
24, 281 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54196702/2
Therefore the LCM of Fractions 8911/48,6082/562 is 27098351
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Greatest Common Factor
We found the factors 48,562 . The biggest common factor number is the GCF number.
So the greatest common factor 48,562 is 2.
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 8911/48, 6082/562?
Answer: LCM of Numerators as per given numbers 8911/48, 6082/562 is
LCM of Numerators i.e. for 8911,6082 is 54196702
GCF of denominators i.e. for 48,562 is 2.
Thus, LCM of Fractions is 27098351.Finally, LCM of Fractions for 8911/48, 6082/562 is 27098351.