Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/143, 304/296, 326/155 quickly i.e. 49552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/143, 304/296, 326/155 is 49552.
LCM(76/143, 304/296, 326/155) = 49552
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/143,304/296,326/155
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 76,304,326
Least Common Multiple of Numerators i.e. LCM of 76,304,326 is 49552.
GCF of Denominators means GCF of 143,296,155 as per the given fractions.
GCF of 143,296,155 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,304,326
2 | 76, 304, 326 |
2 | 38, 152, 163 |
19 | 19, 76, 163 |
1, 4, 163 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 1 x 4 x 163 = 49552
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 76,304,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,304,326) = 2
common factors(in case of two or more numbers have common factors) = 76
GCF(76,304,326) x common factors =2 x 76 = 152
LCM(76,304,326) = ( 76 × 304 × 326 ) / 152
LCM(76,304,326) = 7531904 / 152
LCM(76,304,326) = 49552
Lets's calculate GCF of 143,296,155
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49552/1
Therefore the LCM of Fractions 76/143,304/296,326/155 is 49552
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Greatest Common Factor
We found the factors 143,296,155 . The biggest common factor number is the GCF number.
So the greatest common factor 143,296,155 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 76/143, 304/296, 326/155?
Answer: LCM of Numerators as per given numbers 76/143, 304/296, 326/155 is
LCM of Numerators i.e. for 76,304,326 is 49552
GCF of denominators i.e. for 143,296,155 is 1.
Thus, LCM of Fractions is 49552.Finally, LCM of Fractions for 76/143, 304/296, 326/155 is 49552.