Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/556, 277/949, 631/566 quickly i.e. 7690628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/556, 277/949, 631/566 is 7690628.
LCM(44/556, 277/949, 631/566) = 7690628
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/556,277/949,631/566
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 44,277,631
Least Common Multiple of Numerators i.e. LCM of 44,277,631 is 7690628.
GCF of Denominators means GCF of 556,949,566 as per the given fractions.
GCF of 556,949,566 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,277,631
Given numbers has no common factors except 1. So, there LCM is their product i.e 7690628
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 44,277,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,277,631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,277,631) x common factors =1 x 1 = 1
LCM(44,277,631) = ( 44 × 277 × 631 ) / 1
LCM(44,277,631) = 7690628 / 1
LCM(44,277,631) = 7690628
Lets's calculate GCF of 556,949,566
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7690628/1
Therefore the LCM of Fractions 44/556,277/949,631/566 is 7690628
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Greatest Common Factor
We found the factors 556,949,566 . The biggest common factor number is the GCF number.
So the greatest common factor 556,949,566 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 44/556, 277/949, 631/566?
Answer: LCM of Numerators as per given numbers 44/556, 277/949, 631/566 is
LCM of Numerators i.e. for 44,277,631 is 7690628
GCF of denominators i.e. for 556,949,566 is 1.
Thus, LCM of Fractions is 7690628.Finally, LCM of Fractions for 44/556, 277/949, 631/566 is 7690628.