Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/100, 4680/5026 quickly i.e. 2340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/100, 4680/5026 is 2340.
LCM(65/100, 4680/5026) = 2340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/100,4680/5026
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 65,4680
Least Common Multiple of Numerators i.e. LCM of 65,4680 is 4680.
GCF of Denominators means GCF of 100,5026 as per the given fractions.
GCF of 100,5026 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,4680
5 | 65, 4680 |
13 | 13, 936 |
1, 72 |
∴ So the LCM of the given numbers is 5 x 13 x 1 x 72 = 4680
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 65,4680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,4680) = 65
common factors(in case of two or more numbers have common factors) = 1
GCF(65,4680) x common factors =65 x 1 = 65
LCM(65,4680) = ( 65 × 4680 ) / 65
LCM(65,4680) = 304200 / 65
LCM(65,4680) = 4680
Lets's calculate GCF of 100,5026
2 | 100, 5026 |
50, 2513 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4680/2
Therefore the LCM of Fractions 65/100,4680/5026 is 2340
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1,2,4,5,10,20,25,50,100
Factors of 5026
List of positive integer factors of 5026 that divides 5026 without a remainder.
1,2,7,14,359,718,2513,5026
Greatest Common Factor
We found the factors 100,5026 . The biggest common factor number is the GCF number.
So the greatest common factor 100,5026 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 65/100, 4680/5026?
Answer: LCM of Numerators as per given numbers 65/100, 4680/5026 is
LCM of Numerators i.e. for 65,4680 is 4680
GCF of denominators i.e. for 100,5026 is 2.
Thus, LCM of Fractions is 2340.Finally, LCM of Fractions for 65/100, 4680/5026 is 2340.