Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 609/739, 124/497, 683/432 quickly i.e. 51577428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 609/739, 124/497, 683/432 is 51577428.
LCM(609/739, 124/497, 683/432) = 51577428
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 609/739,124/497,683/432
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 609,124,683
Least Common Multiple of Numerators i.e. LCM of 609,124,683 is 51577428.
GCF of Denominators means GCF of 739,497,432 as per the given fractions.
GCF of 739,497,432 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 609,124,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 51577428
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 609,124,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,124,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(609,124,683) x common factors =1 x 1 = 1
LCM(609,124,683) = ( 609 × 124 × 683 ) / 1
LCM(609,124,683) = 51577428 / 1
LCM(609,124,683) = 51577428
Lets's calculate GCF of 739,497,432
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51577428/1
Therefore the LCM of Fractions 609/739,124/497,683/432 is 51577428
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1,739
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 739,497,432 . The biggest common factor number is the GCF number.
So the greatest common factor 739,497,432 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 609/739, 124/497, 683/432?
Answer: LCM of Numerators as per given numbers 609/739, 124/497, 683/432 is
LCM of Numerators i.e. for 609,124,683 is 51577428
GCF of denominators i.e. for 739,497,432 is 1.
Thus, LCM of Fractions is 51577428.Finally, LCM of Fractions for 609/739, 124/497, 683/432 is 51577428.