Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/492, 8462/3244 quickly i.e. 465410/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/492, 8462/3244 is 465410/4.
LCM(55/492, 8462/3244) = 465410/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/492,8462/3244
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 55,8462
Least Common Multiple of Numerators i.e. LCM of 55,8462 is 465410.
GCF of Denominators means GCF of 492,3244 as per the given fractions.
GCF of 492,3244 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,8462
Given numbers has no common factors except 1. So, there LCM is their product i.e 465410
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 55,8462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,8462) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,8462) x common factors =1 x 1 = 1
LCM(55,8462) = ( 55 × 8462 ) / 1
LCM(55,8462) = 465410 / 1
LCM(55,8462) = 465410
Lets's calculate GCF of 492,3244
2 | 492, 3244 |
2 | 246, 1622 |
123, 811 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 465410/4
Therefore the LCM of Fractions 55/492,8462/3244 is 465410/4
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Factors of 3244
List of positive integer factors of 3244 that divides 3244 without a remainder.
1,2,4,811,1622,3244
Greatest Common Factor
We found the factors 492,3244 . The biggest common factor number is the GCF number.
So the greatest common factor 492,3244 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 55/492, 8462/3244?
Answer: LCM of Numerators as per given numbers 55/492, 8462/3244 is
LCM of Numerators i.e. for 55,8462 is 465410
GCF of denominators i.e. for 492,3244 is 4.
Thus, LCM of Fractions is 465410/4.Finally, LCM of Fractions for 55/492, 8462/3244 is 465410/4.