Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/106, 79/925, 87/794 quickly i.e. 13746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/106, 79/925, 87/794 is 13746.
LCM(6/106, 79/925, 87/794) = 13746
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/106,79/925,87/794
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 6,79,87
Least Common Multiple of Numerators i.e. LCM of 6,79,87 is 13746.
GCF of Denominators means GCF of 106,925,794 as per the given fractions.
GCF of 106,925,794 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,79,87
3 | 6, 79, 87 |
2, 79, 29 |
∴ So the LCM of the given numbers is 3 x 2 x 79 x 29 = 13746
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 6,79,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,79,87) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(6,79,87) x common factors =1 x 3 = 3
LCM(6,79,87) = ( 6 × 79 × 87 ) / 3
LCM(6,79,87) = 41238 / 3
LCM(6,79,87) = 13746
Lets's calculate GCF of 106,925,794
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13746/1
Therefore the LCM of Fractions 6/106,79/925,87/794 is 13746
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Greatest Common Factor
We found the factors 106,925,794 . The biggest common factor number is the GCF number.
So the greatest common factor 106,925,794 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 6/106, 79/925, 87/794?
Answer: LCM of Numerators as per given numbers 6/106, 79/925, 87/794 is
LCM of Numerators i.e. for 6,79,87 is 13746
GCF of denominators i.e. for 106,925,794 is 1.
Thus, LCM of Fractions is 13746.Finally, LCM of Fractions for 6/106, 79/925, 87/794 is 13746.