Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 482/428, 5112/402 quickly i.e. 615996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 482/428, 5112/402 is 615996.
LCM(482/428, 5112/402) = 615996
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 482/428,5112/402
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 482,5112
Least Common Multiple of Numerators i.e. LCM of 482,5112 is 1231992.
GCF of Denominators means GCF of 428,402 as per the given fractions.
GCF of 428,402 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 482,5112
2 | 482, 5112 |
241, 2556 |
∴ So the LCM of the given numbers is 2 x 241 x 2556 = 1231992
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 482,5112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,5112) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(482,5112) x common factors =2 x 1 = 2
LCM(482,5112) = ( 482 × 5112 ) / 2
LCM(482,5112) = 2463984 / 2
LCM(482,5112) = 1231992
Lets's calculate GCF of 428,402
2 | 428, 402 |
214, 201 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1231992/2
Therefore the LCM of Fractions 482/428,5112/402 is 615996
Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1,2,4,107,214,428
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Greatest Common Factor
We found the factors 428,402 . The biggest common factor number is the GCF number.
So the greatest common factor 428,402 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 482/428, 5112/402?
Answer: LCM of Numerators as per given numbers 482/428, 5112/402 is
LCM of Numerators i.e. for 482,5112 is 1231992
GCF of denominators i.e. for 428,402 is 2.
Thus, LCM of Fractions is 615996.Finally, LCM of Fractions for 482/428, 5112/402 is 615996.