Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8906/671, 5007/549 quickly i.e. 731022 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8906/671, 5007/549 is 731022.
LCM(8906/671, 5007/549) = 731022
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8906/671,5007/549
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 8906,5007
Least Common Multiple of Numerators i.e. LCM of 8906,5007 is 44592342.
GCF of Denominators means GCF of 671,549 as per the given fractions.
GCF of 671,549 is 61 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8906,5007
Given numbers has no common factors except 1. So, there LCM is their product i.e 44592342
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 8906,5007 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8906,5007) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8906,5007) x common factors =1 x 1 = 1
LCM(8906,5007) = ( 8906 × 5007 ) / 1
LCM(8906,5007) = 44592342 / 1
LCM(8906,5007) = 44592342
Lets's calculate GCF of 671,549
61 | 671, 549 |
11, 9 |
∴ So the GCF of the given numbers is 61 = 61
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44592342/61
Therefore the LCM of Fractions 8906/671,5007/549 is 731022
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Greatest Common Factor
We found the factors 671,549 . The biggest common factor number is the GCF number.
So the greatest common factor 671,549 is 61.
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 8906/671, 5007/549?
Answer: LCM of Numerators as per given numbers 8906/671, 5007/549 is
LCM of Numerators i.e. for 8906,5007 is 44592342
GCF of denominators i.e. for 671,549 is 61.
Thus, LCM of Fractions is 731022.Finally, LCM of Fractions for 8906/671, 5007/549 is 731022.