Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7812/158, 4540/506 quickly i.e. 4433310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7812/158, 4540/506 is 4433310.
LCM(7812/158, 4540/506) = 4433310
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7812/158,4540/506
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 7812,4540
Least Common Multiple of Numerators i.e. LCM of 7812,4540 is 8866620.
GCF of Denominators means GCF of 158,506 as per the given fractions.
GCF of 158,506 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7812,4540
2 | 7812, 4540 |
2 | 3906, 2270 |
1953, 1135 |
∴ So the LCM of the given numbers is 2 x 2 x 1953 x 1135 = 8866620
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 7812,4540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7812,4540) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(7812,4540) x common factors =4 x 1 = 4
LCM(7812,4540) = ( 7812 × 4540 ) / 4
LCM(7812,4540) = 35466480 / 4
LCM(7812,4540) = 8866620
Lets's calculate GCF of 158,506
2 | 158, 506 |
79, 253 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8866620/2
Therefore the LCM of Fractions 7812/158,4540/506 is 4433310
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Greatest Common Factor
We found the factors 158,506 . The biggest common factor number is the GCF number.
So the greatest common factor 158,506 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 7812/158, 4540/506?
Answer: LCM of Numerators as per given numbers 7812/158, 4540/506 is
LCM of Numerators i.e. for 7812,4540 is 8866620
GCF of denominators i.e. for 158,506 is 2.
Thus, LCM of Fractions is 4433310.Finally, LCM of Fractions for 7812/158, 4540/506 is 4433310.