Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/141, 835/513, 815/754 quickly i.e. 13202185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/141, 835/513, 815/754 is 13202185.
LCM(97/141, 835/513, 815/754) = 13202185
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/141,835/513,815/754
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 97,835,815
Least Common Multiple of Numerators i.e. LCM of 97,835,815 is 13202185.
GCF of Denominators means GCF of 141,513,754 as per the given fractions.
GCF of 141,513,754 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,835,815
5 | 97, 835, 815 |
97, 167, 163 |
∴ So the LCM of the given numbers is 5 x 97 x 167 x 163 = 13202185
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 97,835,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,835,815) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(97,835,815) x common factors =1 x 5 = 5
LCM(97,835,815) = ( 97 × 835 × 815 ) / 5
LCM(97,835,815) = 66010925 / 5
LCM(97,835,815) = 13202185
Lets's calculate GCF of 141,513,754
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13202185/1
Therefore the LCM of Fractions 97/141,835/513,815/754 is 13202185
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Factors of 513
List of positive integer factors of 513 that divides 513 without a remainder.
1,3,9,19,27,57,171,513
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 141,513,754 . The biggest common factor number is the GCF number.
So the greatest common factor 141,513,754 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 97/141, 835/513, 815/754?
Answer: LCM of Numerators as per given numbers 97/141, 835/513, 815/754 is
LCM of Numerators i.e. for 97,835,815 is 13202185
GCF of denominators i.e. for 141,513,754 is 1.
Thus, LCM of Fractions is 13202185.Finally, LCM of Fractions for 97/141, 835/513, 815/754 is 13202185.