Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/758, 6671/1217 quickly i.e. 433615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/758, 6671/1217 is 433615.
LCM(65/758, 6671/1217) = 433615
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/758,6671/1217
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 65,6671
Least Common Multiple of Numerators i.e. LCM of 65,6671 is 433615.
GCF of Denominators means GCF of 758,1217 as per the given fractions.
GCF of 758,1217 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,6671
Given numbers has no common factors except 1. So, there LCM is their product i.e 433615
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 65,6671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,6671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,6671) x common factors =1 x 1 = 1
LCM(65,6671) = ( 65 × 6671 ) / 1
LCM(65,6671) = 433615 / 1
LCM(65,6671) = 433615
Lets's calculate GCF of 758,1217
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 433615/1
Therefore the LCM of Fractions 65/758,6671/1217 is 433615
Factors of 758
List of positive integer factors of 758 that divides 758 without a remainder.
1,2,379,758
Factors of 1217
List of positive integer factors of 1217 that divides 1217 without a remainder.
1,1217
Greatest Common Factor
We found the factors 758,1217 . The biggest common factor number is the GCF number.
So the greatest common factor 758,1217 is 1.
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 65/758, 6671/1217?
Answer: LCM of Numerators as per given numbers 65/758, 6671/1217 is
LCM of Numerators i.e. for 65,6671 is 433615
GCF of denominators i.e. for 758,1217 is 1.
Thus, LCM of Fractions is 433615.Finally, LCM of Fractions for 65/758, 6671/1217 is 433615.