Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/531, 611/300, 244/123 quickly i.e. 4621604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/531, 611/300, 244/123 is 4621604.
LCM(93/531, 611/300, 244/123) = 4621604
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/531,611/300,244/123
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 93,611,244
Least Common Multiple of Numerators i.e. LCM of 93,611,244 is 13864812.
GCF of Denominators means GCF of 531,300,123 as per the given fractions.
GCF of 531,300,123 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,611,244
Given numbers has no common factors except 1. So, there LCM is their product i.e 13864812
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 93,611,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,611,244) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,611,244) x common factors =1 x 1 = 1
LCM(93,611,244) = ( 93 × 611 × 244 ) / 1
LCM(93,611,244) = 13864812 / 1
LCM(93,611,244) = 13864812
Lets's calculate GCF of 531,300,123
3 | 531, 300, 123 |
177, 100, 41 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13864812/3
Therefore the LCM of Fractions 93/531,611/300,244/123 is 4621604
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
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 531,300,123 . The biggest common factor number is the GCF number.
So the greatest common factor 531,300,123 is 3.
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 93/531, 611/300, 244/123?
Answer: LCM of Numerators as per given numbers 93/531, 611/300, 244/123 is
LCM of Numerators i.e. for 93,611,244 is 13864812
GCF of denominators i.e. for 531,300,123 is 3.
Thus, LCM of Fractions is 4621604.Finally, LCM of Fractions for 93/531, 611/300, 244/123 is 4621604.