Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4530/497, 7024/9940 quickly i.e. 15909360/497 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4530/497, 7024/9940 is 15909360/497.
LCM(4530/497, 7024/9940) = 15909360/497
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4530/497,7024/9940
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 4530,7024
Least Common Multiple of Numerators i.e. LCM of 4530,7024 is 15909360.
GCF of Denominators means GCF of 497,9940 as per the given fractions.
GCF of 497,9940 is 497 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4530,7024
2 | 4530, 7024 |
2265, 3512 |
∴ So the LCM of the given numbers is 2 x 2265 x 3512 = 15909360
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 4530,7024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4530,7024) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4530,7024) x common factors =2 x 1 = 2
LCM(4530,7024) = ( 4530 × 7024 ) / 2
LCM(4530,7024) = 31818720 / 2
LCM(4530,7024) = 15909360
Lets's calculate GCF of 497,9940
7 | 497, 9940 |
71 | 71, 1420 |
1, 20 |
∴ So the GCF of the given numbers is 7 x 71 = 497
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15909360/497
Therefore the LCM of Fractions 4530/497,7024/9940 is 15909360/497
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Factors of 9940
List of positive integer factors of 9940 that divides 9940 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,71,140,142,284,355,497,710,994,1420,1988,2485,4970,9940
Greatest Common Factor
We found the factors 497,9940 . The biggest common factor number is the GCF number.
So the greatest common factor 497,9940 is 497.
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 4530/497, 7024/9940?
Answer: LCM of Numerators as per given numbers 4530/497, 7024/9940 is
LCM of Numerators i.e. for 4530,7024 is 15909360
GCF of denominators i.e. for 497,9940 is 497.
Thus, LCM of Fractions is 15909360/497.Finally, LCM of Fractions for 4530/497, 7024/9940 is 15909360/497.