Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 597/211, 331/754, 989/452 quickly i.e. 195433323 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 597/211, 331/754, 989/452 is 195433323.
LCM(597/211, 331/754, 989/452) = 195433323
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 597/211,331/754,989/452
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 597,331,989
Least Common Multiple of Numerators i.e. LCM of 597,331,989 is 195433323.
GCF of Denominators means GCF of 211,754,452 as per the given fractions.
GCF of 211,754,452 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 597,331,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 195433323
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 597,331,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,331,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(597,331,989) x common factors =1 x 1 = 1
LCM(597,331,989) = ( 597 × 331 × 989 ) / 1
LCM(597,331,989) = 195433323 / 1
LCM(597,331,989) = 195433323
Lets's calculate GCF of 211,754,452
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195433323/1
Therefore the LCM of Fractions 597/211,331/754,989/452 is 195433323
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Factors of 452
List of positive integer factors of 452 that divides 452 without a remainder.
1,2,4,113,226,452
Greatest Common Factor
We found the factors 211,754,452 . The biggest common factor number is the GCF number.
So the greatest common factor 211,754,452 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 597/211, 331/754, 989/452?
Answer: LCM of Numerators as per given numbers 597/211, 331/754, 989/452 is
LCM of Numerators i.e. for 597,331,989 is 195433323
GCF of denominators i.e. for 211,754,452 is 1.
Thus, LCM of Fractions is 195433323.Finally, LCM of Fractions for 597/211, 331/754, 989/452 is 195433323.