Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/38, 69/69, 35/68, 364/88 quickly i.e. 1004640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/38, 69/69, 35/68, 364/88 is 1004640.
LCM(96/38, 69/69, 35/68, 364/88) = 1004640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/38,69/69,35/68,364/88
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 96,69,35,364
Least Common Multiple of Numerators i.e. LCM of 96,69,35,364 is 1004640.
GCF of Denominators means GCF of 38,69,68,88 as per the given fractions.
GCF of 38,69,68,88 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,69,35,364
2 | 96, 69, 35, 364 |
2 | 48, 69, 35, 182 |
3 | 24, 69, 35, 91 |
7 | 8, 23, 35, 91 |
8, 23, 5, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 8 x 23 x 5 x 13 = 1004640
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 96,69,35,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,69,35,364) = 1
common factors(in case of two or more numbers have common factors) = 84
GCF(96,69,35,364) x common factors =1 x 84 = 84
LCM(96,69,35,364) = ( 96 × 69 × 35 × 364 ) / 84
LCM(96,69,35,364) = 84389760 / 84
LCM(96,69,35,364) = 1004640
Lets's calculate GCF of 38,69,68,88
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1004640/1
Therefore the LCM of Fractions 96/38,69/69,35/68,364/88 is 1004640
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Greatest Common Factor
We found the factors 38,69,68,88 . The biggest common factor number is the GCF number.
So the greatest common factor 38,69,68,88 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 96/38, 69/69, 35/68, 364/88?
Answer: LCM of Numerators as per given numbers 96/38, 69/69, 35/68, 364/88 is
LCM of Numerators i.e. for 96,69,35,364 is 1004640
GCF of denominators i.e. for 38,69,68,88 is 1.
Thus, LCM of Fractions is 1004640.Finally, LCM of Fractions for 96/38, 69/69, 35/68, 364/88 is 1004640.