Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/182, 551/184, 608/638 quickly i.e. 26448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/182, 551/184, 608/638 is 26448.
LCM(12/182, 551/184, 608/638) = 26448
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/182,551/184,608/638
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 12,551,608
Least Common Multiple of Numerators i.e. LCM of 12,551,608 is 52896.
GCF of Denominators means GCF of 182,184,638 as per the given fractions.
GCF of 182,184,638 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,551,608
2 | 12, 551, 608 |
2 | 6, 551, 304 |
19 | 3, 551, 152 |
3, 29, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 3 x 29 x 8 = 52896
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 12,551,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,551,608) = 1
common factors(in case of two or more numbers have common factors) = 76
GCF(12,551,608) x common factors =1 x 76 = 76
LCM(12,551,608) = ( 12 × 551 × 608 ) / 76
LCM(12,551,608) = 4020096 / 76
LCM(12,551,608) = 52896
Lets's calculate GCF of 182,184,638
2 | 182, 184, 638 |
91, 92, 319 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52896/2
Therefore the LCM of Fractions 12/182,551/184,608/638 is 26448
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 182,184,638 . The biggest common factor number is the GCF number.
So the greatest common factor 182,184,638 is 2.
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 12/182, 551/184, 608/638?
Answer: LCM of Numerators as per given numbers 12/182, 551/184, 608/638 is
LCM of Numerators i.e. for 12,551,608 is 52896
GCF of denominators i.e. for 182,184,638 is 2.
Thus, LCM of Fractions is 26448.Finally, LCM of Fractions for 12/182, 551/184, 608/638 is 26448.