Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 603/943, 144/849, 737/645 quickly i.e. 106128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 603/943, 144/849, 737/645 is 106128.
LCM(603/943, 144/849, 737/645) = 106128
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 603/943,144/849,737/645
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 603,144,737
Least Common Multiple of Numerators i.e. LCM of 603,144,737 is 106128.
GCF of Denominators means GCF of 943,849,645 as per the given fractions.
GCF of 943,849,645 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 603,144,737
3 | 603, 144, 737 |
3 | 201, 48, 737 |
67 | 67, 16, 737 |
1, 16, 11 |
∴ So the LCM of the given numbers is 3 x 3 x 67 x 1 x 16 x 11 = 106128
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 603,144,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,144,737) = 1
common factors(in case of two or more numbers have common factors) = 603
GCF(603,144,737) x common factors =1 x 603 = 603
LCM(603,144,737) = ( 603 × 144 × 737 ) / 603
LCM(603,144,737) = 63995184 / 603
LCM(603,144,737) = 106128
Lets's calculate GCF of 943,849,645
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106128/1
Therefore the LCM of Fractions 603/943,144/849,737/645 is 106128
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
Factors of 849
List of positive integer factors of 849 that divides 849 without a remainder.
1,3,283,849
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 943,849,645 . The biggest common factor number is the GCF number.
So the greatest common factor 943,849,645 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 603/943, 144/849, 737/645?
Answer: LCM of Numerators as per given numbers 603/943, 144/849, 737/645 is
LCM of Numerators i.e. for 603,144,737 is 106128
GCF of denominators i.e. for 943,849,645 is 1.
Thus, LCM of Fractions is 106128.Finally, LCM of Fractions for 603/943, 144/849, 737/645 is 106128.