Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 404/156, 404/155, 291/276 quickly i.e. 117564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 404/156, 404/155, 291/276 is 117564.
LCM(404/156, 404/155, 291/276) = 117564
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 404/156,404/155,291/276
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 404,404,291
Least Common Multiple of Numerators i.e. LCM of 404,404,291 is 117564.
GCF of Denominators means GCF of 156,155,276 as per the given fractions.
GCF of 156,155,276 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 404,404,291
2 | 404, 404, 291 |
2 | 202, 202, 291 |
101 | 101, 101, 291 |
1, 1, 291 |
∴ So the LCM of the given numbers is 2 x 2 x 101 x 1 x 1 x 291 = 117564
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 404,404,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,404,291) = 1
common factors(in case of two or more numbers have common factors) = 404
GCF(404,404,291) x common factors =1 x 404 = 404
LCM(404,404,291) = ( 404 × 404 × 291 ) / 404
LCM(404,404,291) = 47495856 / 404
LCM(404,404,291) = 117564
Lets's calculate GCF of 156,155,276
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117564/1
Therefore the LCM of Fractions 404/156,404/155,291/276 is 117564
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors 156,155,276 . The biggest common factor number is the GCF number.
So the greatest common factor 156,155,276 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 404/156, 404/155, 291/276?
Answer: LCM of Numerators as per given numbers 404/156, 404/155, 291/276 is
LCM of Numerators i.e. for 404,404,291 is 117564
GCF of denominators i.e. for 156,155,276 is 1.
Thus, LCM of Fractions is 117564.Finally, LCM of Fractions for 404/156, 404/155, 291/276 is 117564.