Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3796/245, 1753/6680 quickly i.e. 6654388/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3796/245, 1753/6680 is 6654388/5.
LCM(3796/245, 1753/6680) = 6654388/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3796/245,1753/6680
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 3796,1753
Least Common Multiple of Numerators i.e. LCM of 3796,1753 is 6654388.
GCF of Denominators means GCF of 245,6680 as per the given fractions.
GCF of 245,6680 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3796,1753
Given numbers has no common factors except 1. So, there LCM is their product i.e 6654388
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 3796,1753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3796,1753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3796,1753) x common factors =1 x 1 = 1
LCM(3796,1753) = ( 3796 × 1753 ) / 1
LCM(3796,1753) = 6654388 / 1
LCM(3796,1753) = 6654388
Lets's calculate GCF of 245,6680
5 | 245, 6680 |
49, 1336 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6654388/5
Therefore the LCM of Fractions 3796/245,1753/6680 is 6654388/5
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
Factors of 6680
List of positive integer factors of 6680 that divides 6680 without a remainder.
1,2,4,5,8,10,20,40,167,334,668,835,1336,1670,3340,6680
Greatest Common Factor
We found the factors 245,6680 . The biggest common factor number is the GCF number.
So the greatest common factor 245,6680 is 5.
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 3796/245, 1753/6680?
Answer: LCM of Numerators as per given numbers 3796/245, 1753/6680 is
LCM of Numerators i.e. for 3796,1753 is 6654388
GCF of denominators i.e. for 245,6680 is 5.
Thus, LCM of Fractions is 6654388/5.Finally, LCM of Fractions for 3796/245, 1753/6680 is 6654388/5.