LCM of 664, 384, 732, 705
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 664, 384, 732, 705 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 664, 384, 732, 705. So, keep reading to learn more.
Given numbers are 664,384,732,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 664,384,732,705 is 456885120.
Find LCM of 664,384,732,705 with Prime Factorization
| 2 | 664, 384, 732, 705 |
| 2 | 332, 192, 366, 705 |
| 2 | 166, 96, 183, 705 |
| 3 | 83, 48, 183, 705 |
| 83, 16, 61, 235 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 83 x 16 x 61 x 235 = 456885120
Therefore, the lowest common multiple of 664,384,732,705 is 456885120.
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.
664 x 384 x 732 x 705 = 131582914560
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.
664 : 1, 2, 4, 8, 83, 166, 332, 664
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 664,384,732,705, is 1.
Now, the common factors can be found like this.
664:2x 2x 2x 83
384:2x 2x 2x 2x 2x 2x 2x 3
732:2x 2x 3x 61
705:3x 5x 47
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 3 = 288
Therefore, the value for common factors is 288.
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 = 131582914560/(1x288)
LCM = 131582914560/288
LCM = 456885120
Thus, we can understand that the LCM of 664,384,732,705 is 456885120.
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FAQs on LCM of 664, 384, 732, 705
1. What is the LCM of 664, 384, 732, 705?
Answer: LCM of 664, 384, 732, 705 is 456885120.
2. How to calculate the LCM of 664, 384, 732, 705?
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 664, 384, 732, 705.
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}.