Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/43, 46/51, 79/871 quickly i.e. 10902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/43, 46/51, 79/871 is 10902.
LCM(69/43, 46/51, 79/871) = 10902
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/43,46/51,79/871
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 69,46,79
Least Common Multiple of Numerators i.e. LCM of 69,46,79 is 10902.
GCF of Denominators means GCF of 43,51,871 as per the given fractions.
GCF of 43,51,871 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,46,79
23 | 69, 46, 79 |
3, 2, 79 |
∴ So the LCM of the given numbers is 23 x 3 x 2 x 79 = 10902
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 69,46,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,46,79) = 1
common factors(in case of two or more numbers have common factors) = 23
GCF(69,46,79) x common factors =1 x 23 = 23
LCM(69,46,79) = ( 69 × 46 × 79 ) / 23
LCM(69,46,79) = 250746 / 23
LCM(69,46,79) = 10902
Lets's calculate GCF of 43,51,871
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10902/1
Therefore the LCM of Fractions 69/43,46/51,79/871 is 10902
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Greatest Common Factor
We found the factors 43,51,871 . The biggest common factor number is the GCF number.
So the greatest common factor 43,51,871 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 69/43, 46/51, 79/871?
Answer: LCM of Numerators as per given numbers 69/43, 46/51, 79/871 is
LCM of Numerators i.e. for 69,46,79 is 10902
GCF of denominators i.e. for 43,51,871 is 1.
Thus, LCM of Fractions is 10902.Finally, LCM of Fractions for 69/43, 46/51, 79/871 is 10902.