Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 887/75, 303/25, 928/355 quickly i.e. 249410208/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 887/75, 303/25, 928/355 is 249410208/5.
LCM(887/75, 303/25, 928/355) = 249410208/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 887/75,303/25,928/355
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 887,303,928
Least Common Multiple of Numerators i.e. LCM of 887,303,928 is 249410208.
GCF of Denominators means GCF of 75,25,355 as per the given fractions.
GCF of 75,25,355 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 887,303,928
Given numbers has no common factors except 1. So, there LCM is their product i.e 249410208
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 887,303,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,303,928) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(887,303,928) x common factors =1 x 1 = 1
LCM(887,303,928) = ( 887 × 303 × 928 ) / 1
LCM(887,303,928) = 249410208 / 1
LCM(887,303,928) = 249410208
Lets's calculate GCF of 75,25,355
5 | 75, 25, 355 |
15, 5, 71 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249410208/5
Therefore the LCM of Fractions 887/75,303/25,928/355 is 249410208/5
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Greatest Common Factor
We found the factors 75,25,355 . The biggest common factor number is the GCF number.
So the greatest common factor 75,25,355 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 887/75, 303/25, 928/355?
Answer: LCM of Numerators as per given numbers 887/75, 303/25, 928/355 is
LCM of Numerators i.e. for 887,303,928 is 249410208
GCF of denominators i.e. for 75,25,355 is 5.
Thus, LCM of Fractions is 249410208/5.Finally, LCM of Fractions for 887/75, 303/25, 928/355 is 249410208/5.