Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/75, 740/95, 428/465 quickly i.e. 79180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/75, 740/95, 428/465 is 79180.
LCM(25/75, 740/95, 428/465) = 79180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/75,740/95,428/465
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 25,740,428
Least Common Multiple of Numerators i.e. LCM of 25,740,428 is 395900.
GCF of Denominators means GCF of 75,95,465 as per the given fractions.
GCF of 75,95,465 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,740,428
2 | 25, 740, 428 |
2 | 25, 370, 214 |
5 | 25, 185, 107 |
5, 37, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 37 x 107 = 395900
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 25,740,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,740,428) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(25,740,428) x common factors =1 x 20 = 20
LCM(25,740,428) = ( 25 × 740 × 428 ) / 20
LCM(25,740,428) = 7918000 / 20
LCM(25,740,428) = 395900
Lets's calculate GCF of 75,95,465
5 | 75, 95, 465 |
15, 19, 93 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 395900/5
Therefore the LCM of Fractions 25/75,740/95,428/465 is 79180
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 75,95,465 . The biggest common factor number is the GCF number.
So the greatest common factor 75,95,465 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 25/75, 740/95, 428/465?
Answer: LCM of Numerators as per given numbers 25/75, 740/95, 428/465 is
LCM of Numerators i.e. for 25,740,428 is 395900
GCF of denominators i.e. for 75,95,465 is 5.
Thus, LCM of Fractions is 79180.Finally, LCM of Fractions for 25/75, 740/95, 428/465 is 79180.