Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 143/185, 842/326, 376/950 quickly i.e. 22636328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 143/185, 842/326, 376/950 is 22636328.
LCM(143/185, 842/326, 376/950) = 22636328
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 143/185,842/326,376/950
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 143,842,376
Least Common Multiple of Numerators i.e. LCM of 143,842,376 is 22636328.
GCF of Denominators means GCF of 185,326,950 as per the given fractions.
GCF of 185,326,950 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 143,842,376
2 | 143, 842, 376 |
143, 421, 188 |
∴ So the LCM of the given numbers is 2 x 143 x 421 x 188 = 22636328
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 143,842,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,842,376) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(143,842,376) x common factors =1 x 2 = 2
LCM(143,842,376) = ( 143 × 842 × 376 ) / 2
LCM(143,842,376) = 45272656 / 2
LCM(143,842,376) = 22636328
Lets's calculate GCF of 185,326,950
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22636328/1
Therefore the LCM of Fractions 143/185,842/326,376/950 is 22636328
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Greatest Common Factor
We found the factors 185,326,950 . The biggest common factor number is the GCF number.
So the greatest common factor 185,326,950 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 143/185, 842/326, 376/950?
Answer: LCM of Numerators as per given numbers 143/185, 842/326, 376/950 is
LCM of Numerators i.e. for 143,842,376 is 22636328
GCF of denominators i.e. for 185,326,950 is 1.
Thus, LCM of Fractions is 22636328.Finally, LCM of Fractions for 143/185, 842/326, 376/950 is 22636328.