Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/370, 392/159, 785/389 quickly i.e. 3384920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/370, 392/159, 785/389 is 3384920.
LCM(11/370, 392/159, 785/389) = 3384920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/370,392/159,785/389
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 11,392,785
Least Common Multiple of Numerators i.e. LCM of 11,392,785 is 3384920.
GCF of Denominators means GCF of 370,159,389 as per the given fractions.
GCF of 370,159,389 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,392,785
Given numbers has no common factors except 1. So, there LCM is their product i.e 3384920
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 11,392,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,392,785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,392,785) x common factors =1 x 1 = 1
LCM(11,392,785) = ( 11 × 392 × 785 ) / 1
LCM(11,392,785) = 3384920 / 1
LCM(11,392,785) = 3384920
Lets's calculate GCF of 370,159,389
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3384920/1
Therefore the LCM of Fractions 11/370,392/159,785/389 is 3384920
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Factors of 389
List of positive integer factors of 389 that divides 389 without a remainder.
1,389
Greatest Common Factor
We found the factors 370,159,389 . The biggest common factor number is the GCF number.
So the greatest common factor 370,159,389 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 11/370, 392/159, 785/389?
Answer: LCM of Numerators as per given numbers 11/370, 392/159, 785/389 is
LCM of Numerators i.e. for 11,392,785 is 3384920
GCF of denominators i.e. for 370,159,389 is 1.
Thus, LCM of Fractions is 3384920.Finally, LCM of Fractions for 11/370, 392/159, 785/389 is 3384920.