Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/300, 65/344, 100/436 quickly i.e. 5525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/300, 65/344, 100/436 is 5525.
LCM(34/300, 65/344, 100/436) = 5525
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/300,65/344,100/436
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 34,65,100
Least Common Multiple of Numerators i.e. LCM of 34,65,100 is 22100.
GCF of Denominators means GCF of 300,344,436 as per the given fractions.
GCF of 300,344,436 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,65,100
2 | 34, 65, 100 |
5 | 17, 65, 50 |
17, 13, 10 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 13 x 10 = 22100
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 34,65,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,65,100) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(34,65,100) x common factors =1 x 10 = 10
LCM(34,65,100) = ( 34 × 65 × 100 ) / 10
LCM(34,65,100) = 221000 / 10
LCM(34,65,100) = 22100
Lets's calculate GCF of 300,344,436
2 | 300, 344, 436 |
2 | 150, 172, 218 |
75, 86, 109 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22100/4
Therefore the LCM of Fractions 34/300,65/344,100/436 is 5525
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Factors of 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Greatest Common Factor
We found the factors 300,344,436 . The biggest common factor number is the GCF number.
So the greatest common factor 300,344,436 is 4.
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 34/300, 65/344, 100/436?
Answer: LCM of Numerators as per given numbers 34/300, 65/344, 100/436 is
LCM of Numerators i.e. for 34,65,100 is 22100
GCF of denominators i.e. for 300,344,436 is 4.
Thus, LCM of Fractions is 5525.Finally, LCM of Fractions for 34/300, 65/344, 100/436 is 5525.