Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2644/693, 4364/469 quickly i.e. 2884604/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2644/693, 4364/469 is 2884604/7.
LCM(2644/693, 4364/469) = 2884604/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2644/693,4364/469
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 2644,4364
Least Common Multiple of Numerators i.e. LCM of 2644,4364 is 2884604.
GCF of Denominators means GCF of 693,469 as per the given fractions.
GCF of 693,469 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2644,4364
2 | 2644, 4364 |
2 | 1322, 2182 |
661, 1091 |
∴ So the LCM of the given numbers is 2 x 2 x 661 x 1091 = 2884604
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 2644,4364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2644,4364) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(2644,4364) x common factors =4 x 1 = 4
LCM(2644,4364) = ( 2644 × 4364 ) / 4
LCM(2644,4364) = 11538416 / 4
LCM(2644,4364) = 2884604
Lets's calculate GCF of 693,469
7 | 693, 469 |
99, 67 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2884604/7
Therefore the LCM of Fractions 2644/693,4364/469 is 2884604/7
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Factors of 469
List of positive integer factors of 469 that divides 469 without a remainder.
1,7,67,469
Greatest Common Factor
We found the factors 693,469 . The biggest common factor number is the GCF number.
So the greatest common factor 693,469 is 7.
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 2644/693, 4364/469?
Answer: LCM of Numerators as per given numbers 2644/693, 4364/469 is
LCM of Numerators i.e. for 2644,4364 is 2884604
GCF of denominators i.e. for 693,469 is 7.
Thus, LCM of Fractions is 2884604/7.Finally, LCM of Fractions for 2644/693, 4364/469 is 2884604/7.