Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5010/503, 9042/3662 quickly i.e. 7550070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5010/503, 9042/3662 is 7550070.
LCM(5010/503, 9042/3662) = 7550070
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5010/503,9042/3662
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 5010,9042
Least Common Multiple of Numerators i.e. LCM of 5010,9042 is 7550070.
GCF of Denominators means GCF of 503,3662 as per the given fractions.
GCF of 503,3662 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5010,9042
2 | 5010, 9042 |
3 | 2505, 4521 |
835, 1507 |
∴ So the LCM of the given numbers is 2 x 3 x 835 x 1507 = 7550070
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 5010,9042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5010,9042) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(5010,9042) x common factors =6 x 1 = 6
LCM(5010,9042) = ( 5010 × 9042 ) / 6
LCM(5010,9042) = 45300420 / 6
LCM(5010,9042) = 7550070
Lets's calculate GCF of 503,3662
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7550070/1
Therefore the LCM of Fractions 5010/503,9042/3662 is 7550070
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Factors of 3662
List of positive integer factors of 3662 that divides 3662 without a remainder.
1,2,1831,3662
Greatest Common Factor
We found the factors 503,3662 . The biggest common factor number is the GCF number.
So the greatest common factor 503,3662 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 5010/503, 9042/3662?
Answer: LCM of Numerators as per given numbers 5010/503, 9042/3662 is
LCM of Numerators i.e. for 5010,9042 is 7550070
GCF of denominators i.e. for 503,3662 is 1.
Thus, LCM of Fractions is 7550070.Finally, LCM of Fractions for 5010/503, 9042/3662 is 7550070.