Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 598/874, 5068/2436 quickly i.e. 757666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 598/874, 5068/2436 is 757666.
LCM(598/874, 5068/2436) = 757666
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 598/874,5068/2436
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 598,5068
Least Common Multiple of Numerators i.e. LCM of 598,5068 is 1515332.
GCF of Denominators means GCF of 874,2436 as per the given fractions.
GCF of 874,2436 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 598,5068
2 | 598, 5068 |
299, 2534 |
∴ So the LCM of the given numbers is 2 x 299 x 2534 = 1515332
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 598,5068 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,5068) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,5068) x common factors =2 x 1 = 2
LCM(598,5068) = ( 598 × 5068 ) / 2
LCM(598,5068) = 3030664 / 2
LCM(598,5068) = 1515332
Lets's calculate GCF of 874,2436
2 | 874, 2436 |
437, 1218 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1515332/2
Therefore the LCM of Fractions 598/874,5068/2436 is 757666
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Factors of 2436
List of positive integer factors of 2436 that divides 2436 without a remainder.
1,2,3,4,6,7,12,14,21,28,29,42,58,84,87,116,174,203,348,406,609,812,1218,2436
Greatest Common Factor
We found the factors 874,2436 . The biggest common factor number is the GCF number.
So the greatest common factor 874,2436 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 598/874, 5068/2436?
Answer: LCM of Numerators as per given numbers 598/874, 5068/2436 is
LCM of Numerators i.e. for 598,5068 is 1515332
GCF of denominators i.e. for 874,2436 is 2.
Thus, LCM of Fractions is 757666.Finally, LCM of Fractions for 598/874, 5068/2436 is 757666.