Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2639/634, 6463/3170 quickly i.e. 17055857/634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2639/634, 6463/3170 is 17055857/634.
LCM(2639/634, 6463/3170) = 17055857/634
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2639/634,6463/3170
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 2639,6463
Least Common Multiple of Numerators i.e. LCM of 2639,6463 is 17055857.
GCF of Denominators means GCF of 634,3170 as per the given fractions.
GCF of 634,3170 is 634 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2639,6463
Given numbers has no common factors except 1. So, there LCM is their product i.e 17055857
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 2639,6463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2639,6463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2639,6463) x common factors =1 x 1 = 1
LCM(2639,6463) = ( 2639 × 6463 ) / 1
LCM(2639,6463) = 17055857 / 1
LCM(2639,6463) = 17055857
Lets's calculate GCF of 634,3170
2 | 634, 3170 |
317 | 317, 1585 |
1, 5 |
∴ So the GCF of the given numbers is 2 x 317 = 634
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17055857/634
Therefore the LCM of Fractions 2639/634,6463/3170 is 17055857/634
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Factors of 3170
List of positive integer factors of 3170 that divides 3170 without a remainder.
1,2,5,10,317,634,1585,3170
Greatest Common Factor
We found the factors 634,3170 . The biggest common factor number is the GCF number.
So the greatest common factor 634,3170 is 634.
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 2639/634, 6463/3170?
Answer: LCM of Numerators as per given numbers 2639/634, 6463/3170 is
LCM of Numerators i.e. for 2639,6463 is 17055857
GCF of denominators i.e. for 634,3170 is 634.
Thus, LCM of Fractions is 17055857/634.Finally, LCM of Fractions for 2639/634, 6463/3170 is 17055857/634.