Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 837/558, 8636/2294 quickly i.e. 116586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 837/558, 8636/2294 is 116586.
LCM(837/558, 8636/2294) = 116586
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 837/558,8636/2294
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 837,8636
Least Common Multiple of Numerators i.e. LCM of 837,8636 is 7228332.
GCF of Denominators means GCF of 558,2294 as per the given fractions.
GCF of 558,2294 is 62 as it is the largest common factor for these numbers.
Lets's calculate LCM of 837,8636
Given numbers has no common factors except 1. So, there LCM is their product i.e 7228332
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 837,8636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,8636) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,8636) x common factors =1 x 1 = 1
LCM(837,8636) = ( 837 × 8636 ) / 1
LCM(837,8636) = 7228332 / 1
LCM(837,8636) = 7228332
Lets's calculate GCF of 558,2294
2 | 558, 2294 |
31 | 279, 1147 |
9, 37 |
∴ So the GCF of the given numbers is 2 x 31 = 62
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7228332/62
Therefore the LCM of Fractions 837/558,8636/2294 is 116586
Factors of 558
List of positive integer factors of 558 that divides 558 without a remainder.
1,2,3,6,9,18,31,62,93,186,279,558
Factors of 2294
List of positive integer factors of 2294 that divides 2294 without a remainder.
1,2,31,37,62,74,1147,2294
Greatest Common Factor
We found the factors 558,2294 . The biggest common factor number is the GCF number.
So the greatest common factor 558,2294 is 62.
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 837/558, 8636/2294?
Answer: LCM of Numerators as per given numbers 837/558, 8636/2294 is
LCM of Numerators i.e. for 837,8636 is 7228332
GCF of denominators i.e. for 558,2294 is 62.
Thus, LCM of Fractions is 116586.Finally, LCM of Fractions for 837/558, 8636/2294 is 116586.