Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/181, 91/412, 677/547 quickly i.e. 4620525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/181, 91/412, 677/547 is 4620525.
LCM(75/181, 91/412, 677/547) = 4620525
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/181,91/412,677/547
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 75,91,677
Least Common Multiple of Numerators i.e. LCM of 75,91,677 is 4620525.
GCF of Denominators means GCF of 181,412,547 as per the given fractions.
GCF of 181,412,547 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,91,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 4620525
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 75,91,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,91,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,91,677) x common factors =1 x 1 = 1
LCM(75,91,677) = ( 75 × 91 × 677 ) / 1
LCM(75,91,677) = 4620525 / 1
LCM(75,91,677) = 4620525
Lets's calculate GCF of 181,412,547
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4620525/1
Therefore the LCM of Fractions 75/181,91/412,677/547 is 4620525
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Factors of 547
List of positive integer factors of 547 that divides 547 without a remainder.
1,547
Greatest Common Factor
We found the factors 181,412,547 . The biggest common factor number is the GCF number.
So the greatest common factor 181,412,547 is 1.
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 75/181, 91/412, 677/547?
Answer: LCM of Numerators as per given numbers 75/181, 91/412, 677/547 is
LCM of Numerators i.e. for 75,91,677 is 4620525
GCF of denominators i.e. for 181,412,547 is 1.
Thus, LCM of Fractions is 4620525.Finally, LCM of Fractions for 75/181, 91/412, 677/547 is 4620525.