Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/388, 184/931, 212/248 quickly i.e. 282808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/388, 184/931, 212/248 is 282808.
LCM(29/388, 184/931, 212/248) = 282808
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/388,184/931,212/248
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 29,184,212
Least Common Multiple of Numerators i.e. LCM of 29,184,212 is 282808.
GCF of Denominators means GCF of 388,931,248 as per the given fractions.
GCF of 388,931,248 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,184,212
2 | 29, 184, 212 |
2 | 29, 92, 106 |
29, 46, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 46 x 53 = 282808
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 29,184,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,184,212) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(29,184,212) x common factors =1 x 4 = 4
LCM(29,184,212) = ( 29 × 184 × 212 ) / 4
LCM(29,184,212) = 1131232 / 4
LCM(29,184,212) = 282808
Lets's calculate GCF of 388,931,248
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 282808/1
Therefore the LCM of Fractions 29/388,184/931,212/248 is 282808
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Greatest Common Factor
We found the factors 388,931,248 . The biggest common factor number is the GCF number.
So the greatest common factor 388,931,248 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 29/388, 184/931, 212/248?
Answer: LCM of Numerators as per given numbers 29/388, 184/931, 212/248 is
LCM of Numerators i.e. for 29,184,212 is 282808
GCF of denominators i.e. for 388,931,248 is 1.
Thus, LCM of Fractions is 282808.Finally, LCM of Fractions for 29/388, 184/931, 212/248 is 282808.