Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 740/68, 284/8082 quickly i.e. 26270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 740/68, 284/8082 is 26270.
LCM(740/68, 284/8082) = 26270
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 740/68,284/8082
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 740,284
Least Common Multiple of Numerators i.e. LCM of 740,284 is 52540.
GCF of Denominators means GCF of 68,8082 as per the given fractions.
GCF of 68,8082 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 740,284
2 | 740, 284 |
2 | 370, 142 |
185, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 185 x 71 = 52540
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 740,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,284) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(740,284) x common factors =4 x 1 = 4
LCM(740,284) = ( 740 × 284 ) / 4
LCM(740,284) = 210160 / 4
LCM(740,284) = 52540
Lets's calculate GCF of 68,8082
2 | 68, 8082 |
34, 4041 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52540/2
Therefore the LCM of Fractions 740/68,284/8082 is 26270
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 8082
List of positive integer factors of 8082 that divides 8082 without a remainder.
1,2,3,6,9,18,449,898,1347,2694,4041,8082
Greatest Common Factor
We found the factors 68,8082 . The biggest common factor number is the GCF number.
So the greatest common factor 68,8082 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 740/68, 284/8082?
Answer: LCM of Numerators as per given numbers 740/68, 284/8082 is
LCM of Numerators i.e. for 740,284 is 52540
GCF of denominators i.e. for 68,8082 is 2.
Thus, LCM of Fractions is 26270.Finally, LCM of Fractions for 740/68, 284/8082 is 26270.