Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 647/684, 859/101 quickly i.e. 555773 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 647/684, 859/101 is 555773.
LCM(647/684, 859/101) = 555773
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 647/684,859/101
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 647,859
Least Common Multiple of Numerators i.e. LCM of 647,859 is 555773.
GCF of Denominators means GCF of 684,101 as per the given fractions.
GCF of 684,101 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 647,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 555773
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 647,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,859) x common factors =1 x 1 = 1
LCM(647,859) = ( 647 × 859 ) / 1
LCM(647,859) = 555773 / 1
LCM(647,859) = 555773
Lets's calculate GCF of 684,101
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 555773/1
Therefore the LCM of Fractions 647/684,859/101 is 555773
Factors of 684
List of positive integer factors of 684 that divides 684 without a remainder.
1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Greatest Common Factor
We found the factors 684,101 . The biggest common factor number is the GCF number.
So the greatest common factor 684,101 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 647/684, 859/101?
Answer: LCM of Numerators as per given numbers 647/684, 859/101 is
LCM of Numerators i.e. for 647,859 is 555773
GCF of denominators i.e. for 684,101 is 1.
Thus, LCM of Fractions is 555773.Finally, LCM of Fractions for 647/684, 859/101 is 555773.