Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8002/124, 9051/6724 quickly i.e. 72426102/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8002/124, 9051/6724 is 72426102/4.
LCM(8002/124, 9051/6724) = 72426102/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8002/124,9051/6724
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 8002,9051
Least Common Multiple of Numerators i.e. LCM of 8002,9051 is 72426102.
GCF of Denominators means GCF of 124,6724 as per the given fractions.
GCF of 124,6724 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8002,9051
Given numbers has no common factors except 1. So, there LCM is their product i.e 72426102
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 8002,9051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8002,9051) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8002,9051) x common factors =1 x 1 = 1
LCM(8002,9051) = ( 8002 × 9051 ) / 1
LCM(8002,9051) = 72426102 / 1
LCM(8002,9051) = 72426102
Lets's calculate GCF of 124,6724
2 | 124, 6724 |
2 | 62, 3362 |
31, 1681 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72426102/4
Therefore the LCM of Fractions 8002/124,9051/6724 is 72426102/4
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 6724
List of positive integer factors of 6724 that divides 6724 without a remainder.
1,2,4,41,82,164,1681,3362,6724
Greatest Common Factor
We found the factors 124,6724 . The biggest common factor number is the GCF number.
So the greatest common factor 124,6724 is 4.
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 8002/124, 9051/6724?
Answer: LCM of Numerators as per given numbers 8002/124, 9051/6724 is
LCM of Numerators i.e. for 8002,9051 is 72426102
GCF of denominators i.e. for 124,6724 is 4.
Thus, LCM of Fractions is 72426102/4.Finally, LCM of Fractions for 8002/124, 9051/6724 is 72426102/4.