Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5482/974, 9621/6305 quickly i.e. 52742322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5482/974, 9621/6305 is 52742322.
LCM(5482/974, 9621/6305) = 52742322
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5482/974,9621/6305
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 5482,9621
Least Common Multiple of Numerators i.e. LCM of 5482,9621 is 52742322.
GCF of Denominators means GCF of 974,6305 as per the given fractions.
GCF of 974,6305 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5482,9621
Given numbers has no common factors except 1. So, there LCM is their product i.e 52742322
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 5482,9621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5482,9621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5482,9621) x common factors =1 x 1 = 1
LCM(5482,9621) = ( 5482 × 9621 ) / 1
LCM(5482,9621) = 52742322 / 1
LCM(5482,9621) = 52742322
Lets's calculate GCF of 974,6305
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52742322/1
Therefore the LCM of Fractions 5482/974,9621/6305 is 52742322
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Factors of 6305
List of positive integer factors of 6305 that divides 6305 without a remainder.
1,5,13,65,97,485,1261,6305
Greatest Common Factor
We found the factors 974,6305 . The biggest common factor number is the GCF number.
So the greatest common factor 974,6305 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 5482/974, 9621/6305?
Answer: LCM of Numerators as per given numbers 5482/974, 9621/6305 is
LCM of Numerators i.e. for 5482,9621 is 52742322
GCF of denominators i.e. for 974,6305 is 1.
Thus, LCM of Fractions is 52742322.Finally, LCM of Fractions for 5482/974, 9621/6305 is 52742322.