Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6634/597, 8984/1202 quickly i.e. 29799928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6634/597, 8984/1202 is 29799928.
LCM(6634/597, 8984/1202) = 29799928
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6634/597,8984/1202
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 6634,8984
Least Common Multiple of Numerators i.e. LCM of 6634,8984 is 29799928.
GCF of Denominators means GCF of 597,1202 as per the given fractions.
GCF of 597,1202 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6634,8984
2 | 6634, 8984 |
3317, 4492 |
∴ So the LCM of the given numbers is 2 x 3317 x 4492 = 29799928
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 6634,8984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6634,8984) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6634,8984) x common factors =2 x 1 = 2
LCM(6634,8984) = ( 6634 × 8984 ) / 2
LCM(6634,8984) = 59599856 / 2
LCM(6634,8984) = 29799928
Lets's calculate GCF of 597,1202
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29799928/1
Therefore the LCM of Fractions 6634/597,8984/1202 is 29799928
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Factors of 1202
List of positive integer factors of 1202 that divides 1202 without a remainder.
1,2,601,1202
Greatest Common Factor
We found the factors 597,1202 . The biggest common factor number is the GCF number.
So the greatest common factor 597,1202 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 6634/597, 8984/1202?
Answer: LCM of Numerators as per given numbers 6634/597, 8984/1202 is
LCM of Numerators i.e. for 6634,8984 is 29799928
GCF of denominators i.e. for 597,1202 is 1.
Thus, LCM of Fractions is 29799928.Finally, LCM of Fractions for 6634/597, 8984/1202 is 29799928.