Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/184, 710/802, 422/794 quickly i.e. 2546770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/184, 710/802, 422/794 is 2546770.
LCM(68/184, 710/802, 422/794) = 2546770
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/184,710/802,422/794
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 68,710,422
Least Common Multiple of Numerators i.e. LCM of 68,710,422 is 5093540.
GCF of Denominators means GCF of 184,802,794 as per the given fractions.
GCF of 184,802,794 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,710,422
2 | 68, 710, 422 |
34, 355, 211 |
∴ So the LCM of the given numbers is 2 x 34 x 355 x 211 = 5093540
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 68,710,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,710,422) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(68,710,422) x common factors =2 x 2 = 4
LCM(68,710,422) = ( 68 × 710 × 422 ) / 4
LCM(68,710,422) = 20374160 / 4
LCM(68,710,422) = 5093540
Lets's calculate GCF of 184,802,794
2 | 184, 802, 794 |
92, 401, 397 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5093540/2
Therefore the LCM of Fractions 68/184,710/802,422/794 is 2546770
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Greatest Common Factor
We found the factors 184,802,794 . The biggest common factor number is the GCF number.
So the greatest common factor 184,802,794 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 68/184, 710/802, 422/794?
Answer: LCM of Numerators as per given numbers 68/184, 710/802, 422/794 is
LCM of Numerators i.e. for 68,710,422 is 5093540
GCF of denominators i.e. for 184,802,794 is 2.
Thus, LCM of Fractions is 2546770.Finally, LCM of Fractions for 68/184, 710/802, 422/794 is 2546770.