Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9946/153, 9246/698 quickly i.e. 45980358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9946/153, 9246/698 is 45980358.
LCM(9946/153, 9246/698) = 45980358
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9946/153,9246/698
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 9946,9246
Least Common Multiple of Numerators i.e. LCM of 9946,9246 is 45980358.
GCF of Denominators means GCF of 153,698 as per the given fractions.
GCF of 153,698 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9946,9246
2 | 9946, 9246 |
4973, 4623 |
∴ So the LCM of the given numbers is 2 x 4973 x 4623 = 45980358
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 9946,9246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9946,9246) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9946,9246) x common factors =2 x 1 = 2
LCM(9946,9246) = ( 9946 × 9246 ) / 2
LCM(9946,9246) = 91960716 / 2
LCM(9946,9246) = 45980358
Lets's calculate GCF of 153,698
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45980358/1
Therefore the LCM of Fractions 9946/153,9246/698 is 45980358
Factors of 153
List of positive integer factors of 153 that divides 153 without a remainder.
1,3,9,17,51,153
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Greatest Common Factor
We found the factors 153,698 . The biggest common factor number is the GCF number.
So the greatest common factor 153,698 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 9946/153, 9246/698?
Answer: LCM of Numerators as per given numbers 9946/153, 9246/698 is
LCM of Numerators i.e. for 9946,9246 is 45980358
GCF of denominators i.e. for 153,698 is 1.
Thus, LCM of Fractions is 45980358.Finally, LCM of Fractions for 9946/153, 9246/698 is 45980358.