Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/501, 87/439, 353/123 quickly i.e. 1719816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/501, 87/439, 353/123 is 1719816.
LCM(56/501, 87/439, 353/123) = 1719816
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/501,87/439,353/123
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 56,87,353
Least Common Multiple of Numerators i.e. LCM of 56,87,353 is 1719816.
GCF of Denominators means GCF of 501,439,123 as per the given fractions.
GCF of 501,439,123 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,87,353
Given numbers has no common factors except 1. So, there LCM is their product i.e 1719816
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 56,87,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,87,353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,87,353) x common factors =1 x 1 = 1
LCM(56,87,353) = ( 56 × 87 × 353 ) / 1
LCM(56,87,353) = 1719816 / 1
LCM(56,87,353) = 1719816
Lets's calculate GCF of 501,439,123
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1719816/1
Therefore the LCM of Fractions 56/501,87/439,353/123 is 1719816
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1,3,167,501
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Greatest Common Factor
We found the factors 501,439,123 . The biggest common factor number is the GCF number.
So the greatest common factor 501,439,123 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 56/501, 87/439, 353/123?
Answer: LCM of Numerators as per given numbers 56/501, 87/439, 353/123 is
LCM of Numerators i.e. for 56,87,353 is 1719816
GCF of denominators i.e. for 501,439,123 is 1.
Thus, LCM of Fractions is 1719816.Finally, LCM of Fractions for 56/501, 87/439, 353/123 is 1719816.