Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6290/455, 7657/2613 quickly i.e. 3704810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6290/455, 7657/2613 is 3704810.
LCM(6290/455, 7657/2613) = 3704810
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6290/455,7657/2613
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 6290,7657
Least Common Multiple of Numerators i.e. LCM of 6290,7657 is 48162530.
GCF of Denominators means GCF of 455,2613 as per the given fractions.
GCF of 455,2613 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6290,7657
Given numbers has no common factors except 1. So, there LCM is their product i.e 48162530
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 6290,7657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6290,7657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6290,7657) x common factors =1 x 1 = 1
LCM(6290,7657) = ( 6290 × 7657 ) / 1
LCM(6290,7657) = 48162530 / 1
LCM(6290,7657) = 48162530
Lets's calculate GCF of 455,2613
13 | 455, 2613 |
35, 201 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48162530/13
Therefore the LCM of Fractions 6290/455,7657/2613 is 3704810
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Factors of 2613
List of positive integer factors of 2613 that divides 2613 without a remainder.
1,3,13,39,67,201,871,2613
Greatest Common Factor
We found the factors 455,2613 . The biggest common factor number is the GCF number.
So the greatest common factor 455,2613 is 13.
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 6290/455, 7657/2613?
Answer: LCM of Numerators as per given numbers 6290/455, 7657/2613 is
LCM of Numerators i.e. for 6290,7657 is 48162530
GCF of denominators i.e. for 455,2613 is 13.
Thus, LCM of Fractions is 3704810.Finally, LCM of Fractions for 6290/455, 7657/2613 is 3704810.