Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 755/380, 6795/991 quickly i.e. 6795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 755/380, 6795/991 is 6795.
LCM(755/380, 6795/991) = 6795
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 755/380,6795/991
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 755,6795
Least Common Multiple of Numerators i.e. LCM of 755,6795 is 6795.
GCF of Denominators means GCF of 380,991 as per the given fractions.
GCF of 380,991 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 755,6795
5 | 755, 6795 |
151 | 151, 1359 |
1, 9 |
∴ So the LCM of the given numbers is 5 x 151 x 1 x 9 = 6795
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 755,6795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,6795) = 755
common factors(in case of two or more numbers have common factors) = 1
GCF(755,6795) x common factors =755 x 1 = 755
LCM(755,6795) = ( 755 × 6795 ) / 755
LCM(755,6795) = 5130225 / 755
LCM(755,6795) = 6795
Lets's calculate GCF of 380,991
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6795/1
Therefore the LCM of Fractions 755/380,6795/991 is 6795
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Greatest Common Factor
We found the factors 380,991 . The biggest common factor number is the GCF number.
So the greatest common factor 380,991 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 755/380, 6795/991?
Answer: LCM of Numerators as per given numbers 755/380, 6795/991 is
LCM of Numerators i.e. for 755,6795 is 6795
GCF of denominators i.e. for 380,991 is 1.
Thus, LCM of Fractions is 6795.Finally, LCM of Fractions for 755/380, 6795/991 is 6795.