Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 650/496, 1796/7009 quickly i.e. 583700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 650/496, 1796/7009 is 583700.
LCM(650/496, 1796/7009) = 583700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 650/496,1796/7009
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 650,1796
Least Common Multiple of Numerators i.e. LCM of 650,1796 is 583700.
GCF of Denominators means GCF of 496,7009 as per the given fractions.
GCF of 496,7009 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 650,1796
2 | 650, 1796 |
325, 898 |
∴ So the LCM of the given numbers is 2 x 325 x 898 = 583700
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 650,1796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,1796) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(650,1796) x common factors =2 x 1 = 2
LCM(650,1796) = ( 650 × 1796 ) / 2
LCM(650,1796) = 1167400 / 2
LCM(650,1796) = 583700
Lets's calculate GCF of 496,7009
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 583700/1
Therefore the LCM of Fractions 650/496,1796/7009 is 583700
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Factors of 7009
List of positive integer factors of 7009 that divides 7009 without a remainder.
1,43,163,7009
Greatest Common Factor
We found the factors 496,7009 . The biggest common factor number is the GCF number.
So the greatest common factor 496,7009 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 650/496, 1796/7009?
Answer: LCM of Numerators as per given numbers 650/496, 1796/7009 is
LCM of Numerators i.e. for 650,1796 is 583700
GCF of denominators i.e. for 496,7009 is 1.
Thus, LCM of Fractions is 583700.Finally, LCM of Fractions for 650/496, 1796/7009 is 583700.