Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/79, 85/47, 14/22, 51/728 quickly i.e. 3570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/79, 85/47, 14/22, 51/728 is 3570.
LCM(15/79, 85/47, 14/22, 51/728) = 3570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/79,85/47,14/22,51/728
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 15,85,14,51
Least Common Multiple of Numerators i.e. LCM of 15,85,14,51 is 3570.
GCF of Denominators means GCF of 79,47,22,728 as per the given fractions.
GCF of 79,47,22,728 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,85,14,51
3 | 15, 85, 14, 51 |
5 | 5, 85, 14, 17 |
17 | 1, 17, 14, 17 |
1, 1, 14, 1 |
∴ So the LCM of the given numbers is 3 x 5 x 17 x 1 x 1 x 14 x 1 = 3570
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 15,85,14,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,85,14,51) = 1
common factors(in case of two or more numbers have common factors) = 255
GCF(15,85,14,51) x common factors =1 x 255 = 255
LCM(15,85,14,51) = ( 15 × 85 × 14 × 51 ) / 255
LCM(15,85,14,51) = 910350 / 255
LCM(15,85,14,51) = 3570
Lets's calculate GCF of 79,47,22,728
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3570/1
Therefore the LCM of Fractions 15/79,85/47,14/22,51/728 is 3570
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 79,47,22,728 . The biggest common factor number is the GCF number.
So the greatest common factor 79,47,22,728 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 15/79, 85/47, 14/22, 51/728?
Answer: LCM of Numerators as per given numbers 15/79, 85/47, 14/22, 51/728 is
LCM of Numerators i.e. for 15,85,14,51 is 3570
GCF of denominators i.e. for 79,47,22,728 is 1.
Thus, LCM of Fractions is 3570.Finally, LCM of Fractions for 15/79, 85/47, 14/22, 51/728 is 3570.