Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 411/70, 595/5273 quickly i.e. 244545 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 411/70, 595/5273 is 244545.
LCM(411/70, 595/5273) = 244545
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 411/70,595/5273
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 411,595
Least Common Multiple of Numerators i.e. LCM of 411,595 is 244545.
GCF of Denominators means GCF of 70,5273 as per the given fractions.
GCF of 70,5273 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 411,595
Given numbers has no common factors except 1. So, there LCM is their product i.e 244545
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 411,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(411,595) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(411,595) x common factors =1 x 1 = 1
LCM(411,595) = ( 411 × 595 ) / 1
LCM(411,595) = 244545 / 1
LCM(411,595) = 244545
Lets's calculate GCF of 70,5273
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 244545/1
Therefore the LCM of Fractions 411/70,595/5273 is 244545
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 5273
List of positive integer factors of 5273 that divides 5273 without a remainder.
1,5273
Greatest Common Factor
We found the factors 70,5273 . The biggest common factor number is the GCF number.
So the greatest common factor 70,5273 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 411/70, 595/5273?
Answer: LCM of Numerators as per given numbers 411/70, 595/5273 is
LCM of Numerators i.e. for 411,595 is 244545
GCF of denominators i.e. for 70,5273 is 1.
Thus, LCM of Fractions is 244545.Finally, LCM of Fractions for 411/70, 595/5273 is 244545.