Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/265, 62/220, 542/325 quickly i.e. 621674/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/265, 62/220, 542/325 is 621674/5.
LCM(74/265, 62/220, 542/325) = 621674/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/265,62/220,542/325
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 74,62,542
Least Common Multiple of Numerators i.e. LCM of 74,62,542 is 621674.
GCF of Denominators means GCF of 265,220,325 as per the given fractions.
GCF of 265,220,325 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,62,542
2 | 74, 62, 542 |
37, 31, 271 |
∴ So the LCM of the given numbers is 2 x 37 x 31 x 271 = 621674
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 74,62,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,62,542) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(74,62,542) x common factors =2 x 2 = 4
LCM(74,62,542) = ( 74 × 62 × 542 ) / 4
LCM(74,62,542) = 2486696 / 4
LCM(74,62,542) = 621674
Lets's calculate GCF of 265,220,325
5 | 265, 220, 325 |
53, 44, 65 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 621674/5
Therefore the LCM of Fractions 74/265,62/220,542/325 is 621674/5
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Greatest Common Factor
We found the factors 265,220,325 . The biggest common factor number is the GCF number.
So the greatest common factor 265,220,325 is 5.
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 74/265, 62/220, 542/325?
Answer: LCM of Numerators as per given numbers 74/265, 62/220, 542/325 is
LCM of Numerators i.e. for 74,62,542 is 621674
GCF of denominators i.e. for 265,220,325 is 5.
Thus, LCM of Fractions is 621674/5.Finally, LCM of Fractions for 74/265, 62/220, 542/325 is 621674/5.