LCM of 604, 864, 456, 384, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 604, 864, 456, 384, 210 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 604, 864, 456, 384, 210. So, keep reading to learn more.
Given numbers are 604,864,456,384,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 604,864,456,384,210 is 347034240.
Find LCM of 604,864,456,384,210 with Prime Factorization
| 2 | 604, 864, 456, 384, 210 |
| 2 | 302, 432, 228, 192, 105 |
| 2 | 151, 216, 114, 96, 105 |
| 2 | 151, 108, 57, 48, 105 |
| 2 | 151, 54, 57, 24, 105 |
| 3 | 151, 27, 57, 12, 105 |
| 151, 9, 19, 4, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 151 x 9 x 19 x 4 x 35 = 347034240
Therefore, the lowest common multiple of 604,864,456,384,210 is 347034240.
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.
604 x 864 x 456 x 384 x 210 = 19189605335040
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.
604 : 1, 2, 4, 151, 302, 604
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,864,456,384,210, is 2.
Now, the common factors can be found like this.
604:2x 2x 151
864:2x 2x 2x 2x 2x 3x 3x 3
456:2x 2x 2x 3x 19
384:2x 2x 2x 2x 2x 2x 2x 3
210:2x 3x 5x 7
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 2x 2x 2x 2x 2x 3x 3x 3 = 27648
Therefore, the value for common factors is 27648.
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 = 19189605335040/(2x27648)
LCM = 19189605335040/55296
LCM = 347034240
Thus, we can understand that the LCM of 604,864,456,384,210 is 347034240.
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FAQs on LCM of 604, 864, 456, 384, 210
1. What is the LCM of 604, 864, 456, 384, 210?
Answer: LCM of 604, 864, 456, 384, 210 is 347034240.
2. How to calculate the LCM of 604, 864, 456, 384, 210?
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 604, 864, 456, 384, 210.
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}.