Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3720/608, 4086/608 quickly i.e. 2533320/608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3720/608, 4086/608 is 2533320/608.
LCM(3720/608, 4086/608) = 2533320/608
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3720/608,4086/608
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 3720,4086
Least Common Multiple of Numerators i.e. LCM of 3720,4086 is 2533320.
GCF of Denominators means GCF of 608,608 as per the given fractions.
GCF of 608,608 is 608 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3720,4086
2 | 3720, 4086 |
3 | 1860, 2043 |
620, 681 |
∴ So the LCM of the given numbers is 2 x 3 x 620 x 681 = 2533320
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 3720,4086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3720,4086) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(3720,4086) x common factors =6 x 1 = 6
LCM(3720,4086) = ( 3720 × 4086 ) / 6
LCM(3720,4086) = 15199920 / 6
LCM(3720,4086) = 2533320
Lets's calculate GCF of 608,608
2 | 608, 608 |
2 | 304, 304 |
2 | 152, 152 |
2 | 76, 76 |
2 | 38, 38 |
19 | 19, 19 |
1, 1 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 19 = 608
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2533320/608
Therefore the LCM of Fractions 3720/608,4086/608 is 2533320/608
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Greatest Common Factor
We found the factors 608,608 . The biggest common factor number is the GCF number.
So the greatest common factor 608,608 is 608.
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 3720/608, 4086/608?
Answer: LCM of Numerators as per given numbers 3720/608, 4086/608 is
LCM of Numerators i.e. for 3720,4086 is 2533320
GCF of denominators i.e. for 608,608 is 608.
Thus, LCM of Fractions is 2533320/608.Finally, LCM of Fractions for 3720/608, 4086/608 is 2533320/608.