LCM of 553, 589, 413, 444, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 553, 589, 413, 444, 744 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 553, 589, 413, 444, 744. So, keep reading to learn more.
Given numbers are 553,589,413,444,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 553,589,413,444,744 is 17064965064.
Find LCM of 553,589,413,444,744 with Prime Factorization
| 2 | 553, 589, 413, 444, 744 |
| 2 | 553, 589, 413, 222, 372 |
| 3 | 553, 589, 413, 111, 186 |
| 7 | 553, 589, 413, 37, 62 |
| 31 | 79, 589, 59, 37, 62 |
| 79, 19, 59, 37, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 31 x 79 x 19 x 59 x 37 x 2 = 17064965064
Therefore, the lowest common multiple of 553,589,413,444,744 is 17064965064.
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.
553 x 589 x 413 x 444 x 744 = 44437169026656
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.
553 : 1, 7, 79, 553
589 : 1, 19, 31, 589
413 : 1, 7, 59, 413
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,589,413,444,744, is 1.
Now, the common factors can be found like this.
553:7x 79
589:19x 31
413:7x 59
444:2x 2x 3x 37
744:2x 2x 2x 3x 31
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 3x 7x 31 = 2604
Therefore, the value for common factors is 2604.
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 = 44437169026656/(1x2604)
LCM = 44437169026656/2604
LCM = 17064965064
Thus, we can understand that the LCM of 553,589,413,444,744 is 17064965064.
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FAQs on LCM of 553, 589, 413, 444, 744
1. What is the LCM of 553, 589, 413, 444, 744?
Answer: LCM of 553, 589, 413, 444, 744 is 17064965064.
2. How to calculate the LCM of 553, 589, 413, 444, 744?
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 553, 589, 413, 444, 744.
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}.