Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 627/56, 701/4709 quickly i.e. 439527 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 627/56, 701/4709 is 439527.
LCM(627/56, 701/4709) = 439527
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 627/56,701/4709
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 627,701
Least Common Multiple of Numerators i.e. LCM of 627,701 is 439527.
GCF of Denominators means GCF of 56,4709 as per the given fractions.
GCF of 56,4709 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 627,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 439527
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 627,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(627,701) x common factors =1 x 1 = 1
LCM(627,701) = ( 627 × 701 ) / 1
LCM(627,701) = 439527 / 1
LCM(627,701) = 439527
Lets's calculate GCF of 56,4709
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 439527/1
Therefore the LCM of Fractions 627/56,701/4709 is 439527
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 4709
List of positive integer factors of 4709 that divides 4709 without a remainder.
1,17,277,4709
Greatest Common Factor
We found the factors 56,4709 . The biggest common factor number is the GCF number.
So the greatest common factor 56,4709 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 627/56, 701/4709?
Answer: LCM of Numerators as per given numbers 627/56, 701/4709 is
LCM of Numerators i.e. for 627,701 is 439527
GCF of denominators i.e. for 56,4709 is 1.
Thus, LCM of Fractions is 439527.Finally, LCM of Fractions for 627/56, 701/4709 is 439527.