Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/74, 15/91, 75/69, 23/392 quickly i.e. 136275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/74, 15/91, 75/69, 23/392 is 136275.
LCM(79/74, 15/91, 75/69, 23/392) = 136275
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/74,15/91,75/69,23/392
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 79,15,75,23
Least Common Multiple of Numerators i.e. LCM of 79,15,75,23 is 136275.
GCF of Denominators means GCF of 74,91,69,392 as per the given fractions.
GCF of 74,91,69,392 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,15,75,23
3 | 79, 15, 75, 23 |
5 | 79, 5, 25, 23 |
79, 1, 5, 23 |
∴ So the LCM of the given numbers is 3 x 5 x 79 x 1 x 5 x 23 = 136275
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 79,15,75,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,15,75,23) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(79,15,75,23) x common factors =1 x 15 = 15
LCM(79,15,75,23) = ( 79 × 15 × 75 × 23 ) / 15
LCM(79,15,75,23) = 2044125 / 15
LCM(79,15,75,23) = 136275
Lets's calculate GCF of 74,91,69,392
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136275/1
Therefore the LCM of Fractions 79/74,15/91,75/69,23/392 is 136275
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 392
List of positive integer factors of 392 that divides 392 without a remainder.
1,2,4,7,8,14,28,49,56,98,196,392
Greatest Common Factor
We found the factors 74,91,69,392 . The biggest common factor number is the GCF number.
So the greatest common factor 74,91,69,392 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 79/74, 15/91, 75/69, 23/392?
Answer: LCM of Numerators as per given numbers 79/74, 15/91, 75/69, 23/392 is
LCM of Numerators i.e. for 79,15,75,23 is 136275
GCF of denominators i.e. for 74,91,69,392 is 1.
Thus, LCM of Fractions is 136275.Finally, LCM of Fractions for 79/74, 15/91, 75/69, 23/392 is 136275.