Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 345/61, 524/447 quickly i.e. 180780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 345/61, 524/447 is 180780.
LCM(345/61, 524/447) = 180780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 345/61,524/447
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 345,524
Least Common Multiple of Numerators i.e. LCM of 345,524 is 180780.
GCF of Denominators means GCF of 61,447 as per the given fractions.
GCF of 61,447 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 345,524
Given numbers has no common factors except 1. So, there LCM is their product i.e 180780
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 345,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,524) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(345,524) x common factors =1 x 1 = 1
LCM(345,524) = ( 345 × 524 ) / 1
LCM(345,524) = 180780 / 1
LCM(345,524) = 180780
Lets's calculate GCF of 61,447
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180780/1
Therefore the LCM of Fractions 345/61,524/447 is 180780
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1,3,149,447
Greatest Common Factor
We found the factors 61,447 . The biggest common factor number is the GCF number.
So the greatest common factor 61,447 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 345/61, 524/447?
Answer: LCM of Numerators as per given numbers 345/61, 524/447 is
LCM of Numerators i.e. for 345,524 is 180780
GCF of denominators i.e. for 61,447 is 1.
Thus, LCM of Fractions is 180780.Finally, LCM of Fractions for 345/61, 524/447 is 180780.