Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/556, 42/143, 204/851 quickly i.e. 101388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/556, 42/143, 204/851 is 101388.
LCM(71/556, 42/143, 204/851) = 101388
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/556,42/143,204/851
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 71,42,204
Least Common Multiple of Numerators i.e. LCM of 71,42,204 is 101388.
GCF of Denominators means GCF of 556,143,851 as per the given fractions.
GCF of 556,143,851 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,42,204
2 | 71, 42, 204 |
3 | 71, 21, 102 |
71, 7, 34 |
∴ So the LCM of the given numbers is 2 x 3 x 71 x 7 x 34 = 101388
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 71,42,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,42,204) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(71,42,204) x common factors =1 x 6 = 6
LCM(71,42,204) = ( 71 × 42 × 204 ) / 6
LCM(71,42,204) = 608328 / 6
LCM(71,42,204) = 101388
Lets's calculate GCF of 556,143,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101388/1
Therefore the LCM of Fractions 71/556,42/143,204/851 is 101388
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Greatest Common Factor
We found the factors 556,143,851 . The biggest common factor number is the GCF number.
So the greatest common factor 556,143,851 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 71/556, 42/143, 204/851?
Answer: LCM of Numerators as per given numbers 71/556, 42/143, 204/851 is
LCM of Numerators i.e. for 71,42,204 is 101388
GCF of denominators i.e. for 556,143,851 is 1.
Thus, LCM of Fractions is 101388.Finally, LCM of Fractions for 71/556, 42/143, 204/851 is 101388.