Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 403/473, 7550/658 quickly i.e. 3042650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 403/473, 7550/658 is 3042650.
LCM(403/473, 7550/658) = 3042650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 403/473,7550/658
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 403,7550
Least Common Multiple of Numerators i.e. LCM of 403,7550 is 3042650.
GCF of Denominators means GCF of 473,658 as per the given fractions.
GCF of 473,658 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 403,7550
Given numbers has no common factors except 1. So, there LCM is their product i.e 3042650
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 403,7550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,7550) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,7550) x common factors =1 x 1 = 1
LCM(403,7550) = ( 403 × 7550 ) / 1
LCM(403,7550) = 3042650 / 1
LCM(403,7550) = 3042650
Lets's calculate GCF of 473,658
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3042650/1
Therefore the LCM of Fractions 403/473,7550/658 is 3042650
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 473,658 . The biggest common factor number is the GCF number.
So the greatest common factor 473,658 is 1.
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 403/473, 7550/658?
Answer: LCM of Numerators as per given numbers 403/473, 7550/658 is
LCM of Numerators i.e. for 403,7550 is 3042650
GCF of denominators i.e. for 473,658 is 1.
Thus, LCM of Fractions is 3042650.Finally, LCM of Fractions for 403/473, 7550/658 is 3042650.