Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/775, 18/742, 132/796 quickly i.e. 5148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/775, 18/742, 132/796 is 5148.
LCM(13/775, 18/742, 132/796) = 5148
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/775,18/742,132/796
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 13,18,132
Least Common Multiple of Numerators i.e. LCM of 13,18,132 is 5148.
GCF of Denominators means GCF of 775,742,796 as per the given fractions.
GCF of 775,742,796 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,18,132
2 | 13, 18, 132 |
3 | 13, 9, 66 |
13, 3, 22 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 3 x 22 = 5148
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 13,18,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,18,132) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(13,18,132) x common factors =1 x 6 = 6
LCM(13,18,132) = ( 13 × 18 × 132 ) / 6
LCM(13,18,132) = 30888 / 6
LCM(13,18,132) = 5148
Lets's calculate GCF of 775,742,796
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5148/1
Therefore the LCM of Fractions 13/775,18/742,132/796 is 5148
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Greatest Common Factor
We found the factors 775,742,796 . The biggest common factor number is the GCF number.
So the greatest common factor 775,742,796 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 13/775, 18/742, 132/796?
Answer: LCM of Numerators as per given numbers 13/775, 18/742, 132/796 is
LCM of Numerators i.e. for 13,18,132 is 5148
GCF of denominators i.e. for 775,742,796 is 1.
Thus, LCM of Fractions is 5148.Finally, LCM of Fractions for 13/775, 18/742, 132/796 is 5148.