Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/79, 87/62, 759/579 quickly i.e. 308154 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/79, 87/62, 759/579 is 308154.
LCM(14/79, 87/62, 759/579) = 308154
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/79,87/62,759/579
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 14,87,759
Least Common Multiple of Numerators i.e. LCM of 14,87,759 is 308154.
GCF of Denominators means GCF of 79,62,579 as per the given fractions.
GCF of 79,62,579 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,87,759
3 | 14, 87, 759 |
14, 29, 253 |
∴ So the LCM of the given numbers is 3 x 14 x 29 x 253 = 308154
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 14,87,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,87,759) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(14,87,759) x common factors =1 x 3 = 3
LCM(14,87,759) = ( 14 × 87 × 759 ) / 3
LCM(14,87,759) = 924462 / 3
LCM(14,87,759) = 308154
Lets's calculate GCF of 79,62,579
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 308154/1
Therefore the LCM of Fractions 14/79,87/62,759/579 is 308154
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 579
List of positive integer factors of 579 that divides 579 without a remainder.
1,3,193,579
Greatest Common Factor
We found the factors 79,62,579 . The biggest common factor number is the GCF number.
So the greatest common factor 79,62,579 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 14/79, 87/62, 759/579?
Answer: LCM of Numerators as per given numbers 14/79, 87/62, 759/579 is
LCM of Numerators i.e. for 14,87,759 is 308154
GCF of denominators i.e. for 79,62,579 is 1.
Thus, LCM of Fractions is 308154.Finally, LCM of Fractions for 14/79, 87/62, 759/579 is 308154.