Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/471, 55/921, 28/252 quickly i.e. 1540/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/471, 55/921, 28/252 is 1540/3.
LCM(1/471, 55/921, 28/252) = 1540/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/471,55/921,28/252
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 1,55,28
Least Common Multiple of Numerators i.e. LCM of 1,55,28 is 1540.
GCF of Denominators means GCF of 471,921,252 as per the given fractions.
GCF of 471,921,252 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,55,28
Given numbers has no common factors except 1. So, there LCM is their product i.e 1540
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 1,55,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,55,28) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,55,28) x common factors =1 x 1 = 1
LCM(1,55,28) = ( 1 × 55 × 28 ) / 1
LCM(1,55,28) = 1540 / 1
LCM(1,55,28) = 1540
Lets's calculate GCF of 471,921,252
3 | 471, 921, 252 |
157, 307, 84 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1540/3
Therefore the LCM of Fractions 1/471,55/921,28/252 is 1540/3
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Factors of 921
List of positive integer factors of 921 that divides 921 without a remainder.
1,3,307,921
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Greatest Common Factor
We found the factors 471,921,252 . The biggest common factor number is the GCF number.
So the greatest common factor 471,921,252 is 3.
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 1/471, 55/921, 28/252?
Answer: LCM of Numerators as per given numbers 1/471, 55/921, 28/252 is
LCM of Numerators i.e. for 1,55,28 is 1540
GCF of denominators i.e. for 471,921,252 is 3.
Thus, LCM of Fractions is 1540/3.Finally, LCM of Fractions for 1/471, 55/921, 28/252 is 1540/3.