Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/495, 7217/6119 quickly i.e. 101038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/495, 7217/6119 is 101038.
LCM(98/495, 7217/6119) = 101038
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/495,7217/6119
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 98,7217
Least Common Multiple of Numerators i.e. LCM of 98,7217 is 101038.
GCF of Denominators means GCF of 495,6119 as per the given fractions.
GCF of 495,6119 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,7217
7 | 98, 7217 |
14, 1031 |
∴ So the LCM of the given numbers is 7 x 14 x 1031 = 101038
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 98,7217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,7217) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(98,7217) x common factors =7 x 1 = 7
LCM(98,7217) = ( 98 × 7217 ) / 7
LCM(98,7217) = 707266 / 7
LCM(98,7217) = 101038
Lets's calculate GCF of 495,6119
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101038/1
Therefore the LCM of Fractions 98/495,7217/6119 is 101038
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Factors of 6119
List of positive integer factors of 6119 that divides 6119 without a remainder.
1,29,211,6119
Greatest Common Factor
We found the factors 495,6119 . The biggest common factor number is the GCF number.
So the greatest common factor 495,6119 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 98/495, 7217/6119?
Answer: LCM of Numerators as per given numbers 98/495, 7217/6119 is
LCM of Numerators i.e. for 98,7217 is 101038
GCF of denominators i.e. for 495,6119 is 1.
Thus, LCM of Fractions is 101038.Finally, LCM of Fractions for 98/495, 7217/6119 is 101038.