Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/369, 58/535, 174/364 quickly i.e. 5916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/369, 58/535, 174/364 is 5916.
LCM(68/369, 58/535, 174/364) = 5916
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/369,58/535,174/364
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 68,58,174
Least Common Multiple of Numerators i.e. LCM of 68,58,174 is 5916.
GCF of Denominators means GCF of 369,535,364 as per the given fractions.
GCF of 369,535,364 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,58,174
2 | 68, 58, 174 |
29 | 34, 29, 87 |
34, 1, 3 |
∴ So the LCM of the given numbers is 2 x 29 x 34 x 1 x 3 = 5916
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 68,58,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,58,174) = 2
common factors(in case of two or more numbers have common factors) = 58
GCF(68,58,174) x common factors =2 x 58 = 116
LCM(68,58,174) = ( 68 × 58 × 174 ) / 116
LCM(68,58,174) = 686256 / 116
LCM(68,58,174) = 5916
Lets's calculate GCF of 369,535,364
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5916/1
Therefore the LCM of Fractions 68/369,58/535,174/364 is 5916
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Greatest Common Factor
We found the factors 369,535,364 . The biggest common factor number is the GCF number.
So the greatest common factor 369,535,364 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 68/369, 58/535, 174/364?
Answer: LCM of Numerators as per given numbers 68/369, 58/535, 174/364 is
LCM of Numerators i.e. for 68,58,174 is 5916
GCF of denominators i.e. for 369,535,364 is 1.
Thus, LCM of Fractions is 5916.Finally, LCM of Fractions for 68/369, 58/535, 174/364 is 5916.