Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1651/195, 9898/676 quickly i.e. 1257046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1651/195, 9898/676 is 1257046.
LCM(1651/195, 9898/676) = 1257046
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1651/195,9898/676
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 1651,9898
Least Common Multiple of Numerators i.e. LCM of 1651,9898 is 16341598.
GCF of Denominators means GCF of 195,676 as per the given fractions.
GCF of 195,676 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1651,9898
Given numbers has no common factors except 1. So, there LCM is their product i.e 16341598
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 1651,9898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1651,9898) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1651,9898) x common factors =1 x 1 = 1
LCM(1651,9898) = ( 1651 × 9898 ) / 1
LCM(1651,9898) = 16341598 / 1
LCM(1651,9898) = 16341598
Lets's calculate GCF of 195,676
13 | 195, 676 |
15, 52 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16341598/13
Therefore the LCM of Fractions 1651/195,9898/676 is 1257046
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Greatest Common Factor
We found the factors 195,676 . The biggest common factor number is the GCF number.
So the greatest common factor 195,676 is 13.
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 1651/195, 9898/676?
Answer: LCM of Numerators as per given numbers 1651/195, 9898/676 is
LCM of Numerators i.e. for 1651,9898 is 16341598
GCF of denominators i.e. for 195,676 is 13.
Thus, LCM of Fractions is 1257046.Finally, LCM of Fractions for 1651/195, 9898/676 is 1257046.