Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 254/72, 186/6179 quickly i.e. 23622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 254/72, 186/6179 is 23622.
LCM(254/72, 186/6179) = 23622
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 254/72,186/6179
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 254,186
Least Common Multiple of Numerators i.e. LCM of 254,186 is 23622.
GCF of Denominators means GCF of 72,6179 as per the given fractions.
GCF of 72,6179 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 254,186
2 | 254, 186 |
127, 93 |
∴ So the LCM of the given numbers is 2 x 127 x 93 = 23622
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 254,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,186) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(254,186) x common factors =2 x 1 = 2
LCM(254,186) = ( 254 × 186 ) / 2
LCM(254,186) = 47244 / 2
LCM(254,186) = 23622
Lets's calculate GCF of 72,6179
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23622/1
Therefore the LCM of Fractions 254/72,186/6179 is 23622
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 6179
List of positive integer factors of 6179 that divides 6179 without a remainder.
1,37,167,6179
Greatest Common Factor
We found the factors 72,6179 . The biggest common factor number is the GCF number.
So the greatest common factor 72,6179 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 254/72, 186/6179?
Answer: LCM of Numerators as per given numbers 254/72, 186/6179 is
LCM of Numerators i.e. for 254,186 is 23622
GCF of denominators i.e. for 72,6179 is 1.
Thus, LCM of Fractions is 23622.Finally, LCM of Fractions for 254/72, 186/6179 is 23622.