LCM of 744, 589, 466, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 744, 589, 466, 538 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 744, 589, 466, 538. So, keep reading to learn more.
Given numbers are 744,589,466,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 744,589,466,538 is 886002072.
Find LCM of 744,589,466,538 with Prime Factorization
| 2 | 744, 589, 466, 538 |
| 31 | 372, 589, 233, 269 |
| 12, 19, 233, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 12 x 19 x 233 x 269 = 886002072
Therefore, the lowest common multiple of 744,589,466,538 is 886002072.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
744 x 589 x 466 x 538 = 109864256928
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
589 : 1, 19, 31, 589
466 : 1, 2, 233, 466
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,589,466,538, is 1.
Now, the common factors can be found like this.
744:2x 2x 2x 3x 31
589:19x 31
466:2x 233
538:2x 269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 31 = 124
Therefore, the value for common factors is 124.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 109864256928/(1x124)
LCM = 109864256928/124
LCM = 886002072
Thus, we can understand that the LCM of 744,589,466,538 is 886002072.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 744, 589, 466, 538
1. What is the LCM of 744, 589, 466, 538?
Answer: LCM of 744, 589, 466, 538 is 886002072.
2. How to calculate the LCM of 744, 589, 466, 538?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 744, 589, 466, 538.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.