LCM of 832, 393, 411, 564, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 832, 393, 411, 564, 264 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, 393, 411, 564, 264. So, keep reading to learn more.
Given numbers are 832,393,411,564,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 832,393,411,564,264 is 23159383104.
Find LCM of 832,393,411,564,264 with Prime Factorization
| 2 | 832, 393, 411, 564, 264 |
| 2 | 416, 393, 411, 282, 132 |
| 2 | 208, 393, 411, 141, 66 |
| 3 | 104, 393, 411, 141, 33 |
| 104, 131, 137, 47, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 104 x 131 x 137 x 47 x 11 = 23159383104
Therefore, the lowest common multiple of 832,393,411,564,264 is 23159383104.
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 393 x 411 x 564 x 264 = 20009707001856
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
393 : 1, 3, 131, 393
411 : 1, 3, 137, 411
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 832,393,411,564,264, is 1.
Now, the common factors can be found like this.
832:2x 2x 2x 2x 2x 2x 13
393:3x 131
411:3x 137
564:2x 2x 3x 47
264:2x 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 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 20009707001856/(1x864)
LCM = 20009707001856/864
LCM = 23159383104
Thus, we can understand that the LCM of 832,393,411,564,264 is 23159383104.
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FAQs on LCM of 832, 393, 411, 564, 264
1. What is the LCM of 832, 393, 411, 564, 264?
Answer: LCM of 832, 393, 411, 564, 264 is 23159383104.
2. How to calculate the LCM of 832, 393, 411, 564, 264?
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, 393, 411, 564, 264.
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}.