Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 368/59, 169/58, 110/976 quickly i.e. 3420560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 368/59, 169/58, 110/976 is 3420560.
LCM(368/59, 169/58, 110/976) = 3420560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 368/59,169/58,110/976
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 368,169,110
Least Common Multiple of Numerators i.e. LCM of 368,169,110 is 3420560.
GCF of Denominators means GCF of 59,58,976 as per the given fractions.
GCF of 59,58,976 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 368,169,110
2 | 368, 169, 110 |
184, 169, 55 |
∴ So the LCM of the given numbers is 2 x 184 x 169 x 55 = 3420560
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 368,169,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,169,110) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(368,169,110) x common factors =1 x 2 = 2
LCM(368,169,110) = ( 368 × 169 × 110 ) / 2
LCM(368,169,110) = 6841120 / 2
LCM(368,169,110) = 3420560
Lets's calculate GCF of 59,58,976
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3420560/1
Therefore the LCM of Fractions 368/59,169/58,110/976 is 3420560
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Greatest Common Factor
We found the factors 59,58,976 . The biggest common factor number is the GCF number.
So the greatest common factor 59,58,976 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 368/59, 169/58, 110/976?
Answer: LCM of Numerators as per given numbers 368/59, 169/58, 110/976 is
LCM of Numerators i.e. for 368,169,110 is 3420560
GCF of denominators i.e. for 59,58,976 is 1.
Thus, LCM of Fractions is 3420560.Finally, LCM of Fractions for 368/59, 169/58, 110/976 is 3420560.