LCM of 832, 459, 357, 533, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 832, 459, 357, 533, 442 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 832, 459, 357, 533, 442. So, keep reading to learn more.
Given numbers are 832,459,357,533,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 832,459,357,533,442 is 109601856.
Find LCM of 832,459,357,533,442 with Prime Factorization
| 2 | 832, 459, 357, 533, 442 |
| 3 | 416, 459, 357, 533, 221 |
| 13 | 416, 153, 119, 533, 221 |
| 17 | 32, 153, 119, 41, 17 |
| 32, 9, 7, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 32 x 9 x 7 x 41 x 1 = 109601856
Therefore, the lowest common multiple of 832,459,357,533,442 is 109601856.
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.
832 x 459 x 357 x 533 x 442 = 32118385493376
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.
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
459 : 1, 3, 9, 17, 27, 51, 153, 459
357 : 1, 3, 7, 17, 21, 51, 119, 357
533 : 1, 13, 41, 533
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 832,459,357,533,442, is 1.
Now, the common factors can be found like this.
832:2x 2x 2x 2x 2x 2x 13
459:3x 3x 3x 17
357:3x 7x 17
533:13x 41
442:2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 13x 17x 17 = 293046
Therefore, the value for common factors is 293046.
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 = 32118385493376/(1x293046)
LCM = 32118385493376/293046
LCM = 109601856
Thus, we can understand that the LCM of 832,459,357,533,442 is 109601856.
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FAQs on LCM of 832, 459, 357, 533, 442
1. What is the LCM of 832, 459, 357, 533, 442?
Answer: LCM of 832, 459, 357, 533, 442 is 109601856.
2. How to calculate the LCM of 832, 459, 357, 533, 442?
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 832, 459, 357, 533, 442.
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}.