Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 653/84, 163/2690 quickly i.e. 106439/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 653/84, 163/2690 is 106439/2.
LCM(653/84, 163/2690) = 106439/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 653/84,163/2690
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 653,163
Least Common Multiple of Numerators i.e. LCM of 653,163 is 106439.
GCF of Denominators means GCF of 84,2690 as per the given fractions.
GCF of 84,2690 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 653,163
Given numbers has no common factors except 1. So, there LCM is their product i.e 106439
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 653,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,163) x common factors =1 x 1 = 1
LCM(653,163) = ( 653 × 163 ) / 1
LCM(653,163) = 106439 / 1
LCM(653,163) = 106439
Lets's calculate GCF of 84,2690
2 | 84, 2690 |
42, 1345 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106439/2
Therefore the LCM of Fractions 653/84,163/2690 is 106439/2
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 2690
List of positive integer factors of 2690 that divides 2690 without a remainder.
1,2,5,10,269,538,1345,2690
Greatest Common Factor
We found the factors 84,2690 . The biggest common factor number is the GCF number.
So the greatest common factor 84,2690 is 2.
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 653/84, 163/2690?
Answer: LCM of Numerators as per given numbers 653/84, 163/2690 is
LCM of Numerators i.e. for 653,163 is 106439
GCF of denominators i.e. for 84,2690 is 2.
Thus, LCM of Fractions is 106439/2.Finally, LCM of Fractions for 653/84, 163/2690 is 106439/2.