Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 197/14, 501/7788 quickly i.e. 98697/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 197/14, 501/7788 is 98697/2.
LCM(197/14, 501/7788) = 98697/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 197/14,501/7788
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 197,501
Least Common Multiple of Numerators i.e. LCM of 197,501 is 98697.
GCF of Denominators means GCF of 14,7788 as per the given fractions.
GCF of 14,7788 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 197,501
Given numbers has no common factors except 1. So, there LCM is their product i.e 98697
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 197,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,501) x common factors =1 x 1 = 1
LCM(197,501) = ( 197 × 501 ) / 1
LCM(197,501) = 98697 / 1
LCM(197,501) = 98697
Lets's calculate GCF of 14,7788
2 | 14, 7788 |
7, 3894 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98697/2
Therefore the LCM of Fractions 197/14,501/7788 is 98697/2
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 7788
List of positive integer factors of 7788 that divides 7788 without a remainder.
1,2,3,4,6,11,12,22,33,44,59,66,118,132,177,236,354,649,708,1298,1947,2596,3894,7788
Greatest Common Factor
We found the factors 14,7788 . The biggest common factor number is the GCF number.
So the greatest common factor 14,7788 is 2.
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 197/14, 501/7788?
Answer: LCM of Numerators as per given numbers 197/14, 501/7788 is
LCM of Numerators i.e. for 197,501 is 98697
GCF of denominators i.e. for 14,7788 is 2.
Thus, LCM of Fractions is 98697/2.Finally, LCM of Fractions for 197/14, 501/7788 is 98697/2.