Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/345, 77/792, 380/640 quickly i.e. 29260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/345, 77/792, 380/640 is 29260.
LCM(11/345, 77/792, 380/640) = 29260
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/345,77/792,380/640
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 11,77,380
Least Common Multiple of Numerators i.e. LCM of 11,77,380 is 29260.
GCF of Denominators means GCF of 345,792,640 as per the given fractions.
GCF of 345,792,640 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,77,380
11 | 11, 77, 380 |
1, 7, 380 |
∴ So the LCM of the given numbers is 11 x 1 x 7 x 380 = 29260
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 11,77,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,77,380) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(11,77,380) x common factors =1 x 11 = 11
LCM(11,77,380) = ( 11 × 77 × 380 ) / 11
LCM(11,77,380) = 321860 / 11
LCM(11,77,380) = 29260
Lets's calculate GCF of 345,792,640
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29260/1
Therefore the LCM of Fractions 11/345,77/792,380/640 is 29260
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Greatest Common Factor
We found the factors 345,792,640 . The biggest common factor number is the GCF number.
So the greatest common factor 345,792,640 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 11/345, 77/792, 380/640?
Answer: LCM of Numerators as per given numbers 11/345, 77/792, 380/640 is
LCM of Numerators i.e. for 11,77,380 is 29260
GCF of denominators i.e. for 345,792,640 is 1.
Thus, LCM of Fractions is 29260.Finally, LCM of Fractions for 11/345, 77/792, 380/640 is 29260.