Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/576, 599/420, 126/200 quickly i.e. 1283058/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/576, 599/420, 126/200 is 1283058/4.
LCM(34/576, 599/420, 126/200) = 1283058/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/576,599/420,126/200
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 34,599,126
Least Common Multiple of Numerators i.e. LCM of 34,599,126 is 1283058.
GCF of Denominators means GCF of 576,420,200 as per the given fractions.
GCF of 576,420,200 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,599,126
2 | 34, 599, 126 |
17, 599, 63 |
∴ So the LCM of the given numbers is 2 x 17 x 599 x 63 = 1283058
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 34,599,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,599,126) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(34,599,126) x common factors =1 x 2 = 2
LCM(34,599,126) = ( 34 × 599 × 126 ) / 2
LCM(34,599,126) = 2566116 / 2
LCM(34,599,126) = 1283058
Lets's calculate GCF of 576,420,200
2 | 576, 420, 200 |
2 | 288, 210, 100 |
144, 105, 50 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1283058/4
Therefore the LCM of Fractions 34/576,599/420,126/200 is 1283058/4
Factors of 576
List of positive integer factors of 576 that divides 576 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Greatest Common Factor
We found the factors 576,420,200 . The biggest common factor number is the GCF number.
So the greatest common factor 576,420,200 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 34/576, 599/420, 126/200?
Answer: LCM of Numerators as per given numbers 34/576, 599/420, 126/200 is
LCM of Numerators i.e. for 34,599,126 is 1283058
GCF of denominators i.e. for 576,420,200 is 4.
Thus, LCM of Fractions is 1283058/4.Finally, LCM of Fractions for 34/576, 599/420, 126/200 is 1283058/4.