Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 979/297, 6473/626 quickly i.e. 6337067 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 979/297, 6473/626 is 6337067.
LCM(979/297, 6473/626) = 6337067
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 979/297,6473/626
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 979,6473
Least Common Multiple of Numerators i.e. LCM of 979,6473 is 6337067.
GCF of Denominators means GCF of 297,626 as per the given fractions.
GCF of 297,626 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 979,6473
Given numbers has no common factors except 1. So, there LCM is their product i.e 6337067
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 979,6473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,6473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,6473) x common factors =1 x 1 = 1
LCM(979,6473) = ( 979 × 6473 ) / 1
LCM(979,6473) = 6337067 / 1
LCM(979,6473) = 6337067
Lets's calculate GCF of 297,626
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6337067/1
Therefore the LCM of Fractions 979/297,6473/626 is 6337067
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Greatest Common Factor
We found the factors 297,626 . The biggest common factor number is the GCF number.
So the greatest common factor 297,626 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 979/297, 6473/626?
Answer: LCM of Numerators as per given numbers 979/297, 6473/626 is
LCM of Numerators i.e. for 979,6473 is 6337067
GCF of denominators i.e. for 297,626 is 1.
Thus, LCM of Fractions is 6337067.Finally, LCM of Fractions for 979/297, 6473/626 is 6337067.