Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 641/912, 569/426 quickly i.e. 364729/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 641/912, 569/426 is 364729/6.
LCM(641/912, 569/426) = 364729/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 641/912,569/426
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 641,569
Least Common Multiple of Numerators i.e. LCM of 641,569 is 364729.
GCF of Denominators means GCF of 912,426 as per the given fractions.
GCF of 912,426 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 641,569
Given numbers has no common factors except 1. So, there LCM is their product i.e 364729
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 641,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,569) x common factors =1 x 1 = 1
LCM(641,569) = ( 641 × 569 ) / 1
LCM(641,569) = 364729 / 1
LCM(641,569) = 364729
Lets's calculate GCF of 912,426
2 | 912, 426 |
3 | 456, 213 |
152, 71 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 364729/6
Therefore the LCM of Fractions 641/912,569/426 is 364729/6
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Greatest Common Factor
We found the factors 912,426 . The biggest common factor number is the GCF number.
So the greatest common factor 912,426 is 6.
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 641/912, 569/426?
Answer: LCM of Numerators as per given numbers 641/912, 569/426 is
LCM of Numerators i.e. for 641,569 is 364729
GCF of denominators i.e. for 912,426 is 6.
Thus, LCM of Fractions is 364729/6.Finally, LCM of Fractions for 641/912, 569/426 is 364729/6.