Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/34, 80/352, 236/928 quickly i.e. 2360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/34, 80/352, 236/928 is 2360.
LCM(59/34, 80/352, 236/928) = 2360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/34,80/352,236/928
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 59,80,236
Least Common Multiple of Numerators i.e. LCM of 59,80,236 is 4720.
GCF of Denominators means GCF of 34,352,928 as per the given fractions.
GCF of 34,352,928 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,80,236
2 | 59, 80, 236 |
2 | 59, 40, 118 |
59 | 59, 20, 59 |
1, 20, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 59 x 1 x 20 x 1 = 4720
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 59,80,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,80,236) = 1
common factors(in case of two or more numbers have common factors) = 236
GCF(59,80,236) x common factors =1 x 236 = 236
LCM(59,80,236) = ( 59 × 80 × 236 ) / 236
LCM(59,80,236) = 1113920 / 236
LCM(59,80,236) = 4720
Lets's calculate GCF of 34,352,928
2 | 34, 352, 928 |
17, 176, 464 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4720/2
Therefore the LCM of Fractions 59/34,80/352,236/928 is 2360
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Greatest Common Factor
We found the factors 34,352,928 . The biggest common factor number is the GCF number.
So the greatest common factor 34,352,928 is 2.
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 59/34, 80/352, 236/928?
Answer: LCM of Numerators as per given numbers 59/34, 80/352, 236/928 is
LCM of Numerators i.e. for 59,80,236 is 4720
GCF of denominators i.e. for 34,352,928 is 2.
Thus, LCM of Fractions is 2360.Finally, LCM of Fractions for 59/34, 80/352, 236/928 is 2360.