Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7036/262, 6447/3340 quickly i.e. 22680546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7036/262, 6447/3340 is 22680546.
LCM(7036/262, 6447/3340) = 22680546
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7036/262,6447/3340
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 7036,6447
Least Common Multiple of Numerators i.e. LCM of 7036,6447 is 45361092.
GCF of Denominators means GCF of 262,3340 as per the given fractions.
GCF of 262,3340 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7036,6447
Given numbers has no common factors except 1. So, there LCM is their product i.e 45361092
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 7036,6447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7036,6447) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7036,6447) x common factors =1 x 1 = 1
LCM(7036,6447) = ( 7036 × 6447 ) / 1
LCM(7036,6447) = 45361092 / 1
LCM(7036,6447) = 45361092
Lets's calculate GCF of 262,3340
2 | 262, 3340 |
131, 1670 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45361092/2
Therefore the LCM of Fractions 7036/262,6447/3340 is 22680546
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
Factors of 3340
List of positive integer factors of 3340 that divides 3340 without a remainder.
1,2,4,5,10,20,167,334,668,835,1670,3340
Greatest Common Factor
We found the factors 262,3340 . The biggest common factor number is the GCF number.
So the greatest common factor 262,3340 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 7036/262, 6447/3340?
Answer: LCM of Numerators as per given numbers 7036/262, 6447/3340 is
LCM of Numerators i.e. for 7036,6447 is 45361092
GCF of denominators i.e. for 262,3340 is 2.
Thus, LCM of Fractions is 22680546.Finally, LCM of Fractions for 7036/262, 6447/3340 is 22680546.