Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 386/49, 337/93, 759/120 quickly i.e. 98732238 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 386/49, 337/93, 759/120 is 98732238.
LCM(386/49, 337/93, 759/120) = 98732238
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 386/49,337/93,759/120
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 386,337,759
Least Common Multiple of Numerators i.e. LCM of 386,337,759 is 98732238.
GCF of Denominators means GCF of 49,93,120 as per the given fractions.
GCF of 49,93,120 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 386,337,759
Given numbers has no common factors except 1. So, there LCM is their product i.e 98732238
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 386,337,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,337,759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(386,337,759) x common factors =1 x 1 = 1
LCM(386,337,759) = ( 386 × 337 × 759 ) / 1
LCM(386,337,759) = 98732238 / 1
LCM(386,337,759) = 98732238
Lets's calculate GCF of 49,93,120
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98732238/1
Therefore the LCM of Fractions 386/49,337/93,759/120 is 98732238
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Greatest Common Factor
We found the factors 49,93,120 . The biggest common factor number is the GCF number.
So the greatest common factor 49,93,120 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 386/49, 337/93, 759/120?
Answer: LCM of Numerators as per given numbers 386/49, 337/93, 759/120 is
LCM of Numerators i.e. for 386,337,759 is 98732238
GCF of denominators i.e. for 49,93,120 is 1.
Thus, LCM of Fractions is 98732238.Finally, LCM of Fractions for 386/49, 337/93, 759/120 is 98732238.