Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 130/606, 2495/616 quickly i.e. 32435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 130/606, 2495/616 is 32435.
LCM(130/606, 2495/616) = 32435
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 130/606,2495/616
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 130,2495
Least Common Multiple of Numerators i.e. LCM of 130,2495 is 64870.
GCF of Denominators means GCF of 606,616 as per the given fractions.
GCF of 606,616 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 130,2495
5 | 130, 2495 |
26, 499 |
∴ So the LCM of the given numbers is 5 x 26 x 499 = 64870
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 130,2495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,2495) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(130,2495) x common factors =5 x 1 = 5
LCM(130,2495) = ( 130 × 2495 ) / 5
LCM(130,2495) = 324350 / 5
LCM(130,2495) = 64870
Lets's calculate GCF of 606,616
2 | 606, 616 |
303, 308 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64870/2
Therefore the LCM of Fractions 130/606,2495/616 is 32435
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Greatest Common Factor
We found the factors 606,616 . The biggest common factor number is the GCF number.
So the greatest common factor 606,616 is 2.
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 130/606, 2495/616?
Answer: LCM of Numerators as per given numbers 130/606, 2495/616 is
LCM of Numerators i.e. for 130,2495 is 64870
GCF of denominators i.e. for 606,616 is 2.
Thus, LCM of Fractions is 32435.Finally, LCM of Fractions for 130/606, 2495/616 is 32435.