Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/646, 591/50, 752/425 quickly i.e. 26221488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/646, 591/50, 752/425 is 26221488.
LCM(59/646, 591/50, 752/425) = 26221488
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/646,591/50,752/425
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 59,591,752
Least Common Multiple of Numerators i.e. LCM of 59,591,752 is 26221488.
GCF of Denominators means GCF of 646,50,425 as per the given fractions.
GCF of 646,50,425 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,591,752
Given numbers has no common factors except 1. So, there LCM is their product i.e 26221488
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 59,591,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,591,752) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,591,752) x common factors =1 x 1 = 1
LCM(59,591,752) = ( 59 × 591 × 752 ) / 1
LCM(59,591,752) = 26221488 / 1
LCM(59,591,752) = 26221488
Lets's calculate GCF of 646,50,425
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26221488/1
Therefore the LCM of Fractions 59/646,591/50,752/425 is 26221488
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Greatest Common Factor
We found the factors 646,50,425 . The biggest common factor number is the GCF number.
So the greatest common factor 646,50,425 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 59/646, 591/50, 752/425?
Answer: LCM of Numerators as per given numbers 59/646, 591/50, 752/425 is
LCM of Numerators i.e. for 59,591,752 is 26221488
GCF of denominators i.e. for 646,50,425 is 1.
Thus, LCM of Fractions is 26221488.Finally, LCM of Fractions for 59/646, 591/50, 752/425 is 26221488.