Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9942/488, 6210/726 quickly i.e. 5144985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9942/488, 6210/726 is 5144985.
LCM(9942/488, 6210/726) = 5144985
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9942/488,6210/726
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 9942,6210
Least Common Multiple of Numerators i.e. LCM of 9942,6210 is 10289970.
GCF of Denominators means GCF of 488,726 as per the given fractions.
GCF of 488,726 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9942,6210
2 | 9942, 6210 |
3 | 4971, 3105 |
1657, 1035 |
∴ So the LCM of the given numbers is 2 x 3 x 1657 x 1035 = 10289970
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 9942,6210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9942,6210) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(9942,6210) x common factors =6 x 1 = 6
LCM(9942,6210) = ( 9942 × 6210 ) / 6
LCM(9942,6210) = 61739820 / 6
LCM(9942,6210) = 10289970
Lets's calculate GCF of 488,726
2 | 488, 726 |
244, 363 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10289970/2
Therefore the LCM of Fractions 9942/488,6210/726 is 5144985
Factors of 488
List of positive integer factors of 488 that divides 488 without a remainder.
1,2,4,8,61,122,244,488
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 488,726 . The biggest common factor number is the GCF number.
So the greatest common factor 488,726 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 9942/488, 6210/726?
Answer: LCM of Numerators as per given numbers 9942/488, 6210/726 is
LCM of Numerators i.e. for 9942,6210 is 10289970
GCF of denominators i.e. for 488,726 is 2.
Thus, LCM of Fractions is 5144985.Finally, LCM of Fractions for 9942/488, 6210/726 is 5144985.