LCM of 581, 884, 264, 407, 528
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 581, 884, 264, 407, 528 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 581, 884, 264, 407, 528. So, keep reading to learn more.
Given numbers are 581,884,264,407,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 581,884,264,407,528 is 2508441936.
Find LCM of 581,884,264,407,528 with Prime Factorization
| 2 | 581, 884, 264, 407, 528 |
| 2 | 581, 442, 132, 407, 264 |
| 2 | 581, 221, 66, 407, 132 |
| 3 | 581, 221, 33, 407, 66 |
| 11 | 581, 221, 11, 407, 22 |
| 581, 221, 1, 37, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 581 x 221 x 1 x 37 x 2 = 2508441936
Therefore, the lowest common multiple of 581,884,264,407,528 is 2508441936.
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.
581 x 884 x 264 x 407 x 528 = 29138061528576
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.
581 : 1, 7, 83, 581
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
407 : 1, 11, 37, 407
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 581,884,264,407,528, is 1.
Now, the common factors can be found like this.
581:7x 83
884:2x 2x 13x 17
264:2x 2x 2x 3x 11
407:11x 37
528:2x 2x 2x 2x 3x 11
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 2x 2x 2x 3x 11x 11 = 11616
Therefore, the value for common factors is 11616.
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 = 29138061528576/(1x11616)
LCM = 29138061528576/11616
LCM = 2508441936
Thus, we can understand that the LCM of 581,884,264,407,528 is 2508441936.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 581, 884, 264, 407, 528
1. What is the LCM of 581, 884, 264, 407, 528?
Answer: LCM of 581, 884, 264, 407, 528 is 2508441936.
2. How to calculate the LCM of 581, 884, 264, 407, 528?
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 581, 884, 264, 407, 528.
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}.