Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/13, 69/25, 88/434 quickly i.e. 6072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/13, 69/25, 88/434 is 6072.
LCM(88/13, 69/25, 88/434) = 6072
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/13,69/25,88/434
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 88,69,88
Least Common Multiple of Numerators i.e. LCM of 88,69,88 is 6072.
GCF of Denominators means GCF of 13,25,434 as per the given fractions.
GCF of 13,25,434 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,69,88
2 | 88, 69, 88 |
2 | 44, 69, 44 |
2 | 22, 69, 22 |
11 | 11, 69, 11 |
1, 69, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 1 x 69 x 1 = 6072
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 88,69,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,69,88) = 1
common factors(in case of two or more numbers have common factors) = 88
GCF(88,69,88) x common factors =1 x 88 = 88
LCM(88,69,88) = ( 88 × 69 × 88 ) / 88
LCM(88,69,88) = 534336 / 88
LCM(88,69,88) = 6072
Lets's calculate GCF of 13,25,434
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6072/1
Therefore the LCM of Fractions 88/13,69/25,88/434 is 6072
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Greatest Common Factor
We found the factors 13,25,434 . The biggest common factor number is the GCF number.
So the greatest common factor 13,25,434 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 88/13, 69/25, 88/434?
Answer: LCM of Numerators as per given numbers 88/13, 69/25, 88/434 is
LCM of Numerators i.e. for 88,69,88 is 6072
GCF of denominators i.e. for 13,25,434 is 1.
Thus, LCM of Fractions is 6072.Finally, LCM of Fractions for 88/13, 69/25, 88/434 is 6072.