Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/301, 391/941, 244/179 quickly i.e. 286212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/301, 391/941, 244/179 is 286212.
LCM(69/301, 391/941, 244/179) = 286212
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/301,391/941,244/179
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 69,391,244
Least Common Multiple of Numerators i.e. LCM of 69,391,244 is 286212.
GCF of Denominators means GCF of 301,941,179 as per the given fractions.
GCF of 301,941,179 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,391,244
23 | 69, 391, 244 |
3, 17, 244 |
∴ So the LCM of the given numbers is 23 x 3 x 17 x 244 = 286212
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 69,391,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,391,244) = 1
common factors(in case of two or more numbers have common factors) = 23
GCF(69,391,244) x common factors =1 x 23 = 23
LCM(69,391,244) = ( 69 × 391 × 244 ) / 23
LCM(69,391,244) = 6582876 / 23
LCM(69,391,244) = 286212
Lets's calculate GCF of 301,941,179
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 286212/1
Therefore the LCM of Fractions 69/301,391/941,244/179 is 286212
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Factors of 179
List of positive integer factors of 179 that divides 179 without a remainder.
1,179
Greatest Common Factor
We found the factors 301,941,179 . The biggest common factor number is the GCF number.
So the greatest common factor 301,941,179 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 69/301, 391/941, 244/179?
Answer: LCM of Numerators as per given numbers 69/301, 391/941, 244/179 is
LCM of Numerators i.e. for 69,391,244 is 286212
GCF of denominators i.e. for 301,941,179 is 1.
Thus, LCM of Fractions is 286212.Finally, LCM of Fractions for 69/301, 391/941, 244/179 is 286212.