Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/56, 44/639, 627/657 quickly i.e. 2508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/56, 44/639, 627/657 is 2508.
LCM(57/56, 44/639, 627/657) = 2508
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/56,44/639,627/657
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 57,44,627
Least Common Multiple of Numerators i.e. LCM of 57,44,627 is 2508.
GCF of Denominators means GCF of 56,639,657 as per the given fractions.
GCF of 56,639,657 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,44,627
3 | 57, 44, 627 |
11 | 19, 44, 209 |
19 | 19, 4, 19 |
1, 4, 1 |
∴ So the LCM of the given numbers is 3 x 11 x 19 x 1 x 4 x 1 = 2508
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 57,44,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,44,627) = 1
common factors(in case of two or more numbers have common factors) = 627
GCF(57,44,627) x common factors =1 x 627 = 627
LCM(57,44,627) = ( 57 × 44 × 627 ) / 627
LCM(57,44,627) = 1572516 / 627
LCM(57,44,627) = 2508
Lets's calculate GCF of 56,639,657
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2508/1
Therefore the LCM of Fractions 57/56,44/639,627/657 is 2508
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Greatest Common Factor
We found the factors 56,639,657 . The biggest common factor number is the GCF number.
So the greatest common factor 56,639,657 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 57/56, 44/639, 627/657?
Answer: LCM of Numerators as per given numbers 57/56, 44/639, 627/657 is
LCM of Numerators i.e. for 57,44,627 is 2508
GCF of denominators i.e. for 56,639,657 is 1.
Thus, LCM of Fractions is 2508.Finally, LCM of Fractions for 57/56, 44/639, 627/657 is 2508.