Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/906, 86/775, 176/136 quickly i.e. 234608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/906, 86/775, 176/136 is 234608.
LCM(31/906, 86/775, 176/136) = 234608
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/906,86/775,176/136
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 31,86,176
Least Common Multiple of Numerators i.e. LCM of 31,86,176 is 234608.
GCF of Denominators means GCF of 906,775,136 as per the given fractions.
GCF of 906,775,136 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,86,176
2 | 31, 86, 176 |
31, 43, 88 |
∴ So the LCM of the given numbers is 2 x 31 x 43 x 88 = 234608
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 31,86,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,86,176) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(31,86,176) x common factors =1 x 2 = 2
LCM(31,86,176) = ( 31 × 86 × 176 ) / 2
LCM(31,86,176) = 469216 / 2
LCM(31,86,176) = 234608
Lets's calculate GCF of 906,775,136
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 234608/1
Therefore the LCM of Fractions 31/906,86/775,176/136 is 234608
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Greatest Common Factor
We found the factors 906,775,136 . The biggest common factor number is the GCF number.
So the greatest common factor 906,775,136 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 31/906, 86/775, 176/136?
Answer: LCM of Numerators as per given numbers 31/906, 86/775, 176/136 is
LCM of Numerators i.e. for 31,86,176 is 234608
GCF of denominators i.e. for 906,775,136 is 1.
Thus, LCM of Fractions is 234608.Finally, LCM of Fractions for 31/906, 86/775, 176/136 is 234608.