LCM of 468, 149, 768, 404, 536
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 149, 768, 404, 536 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 468, 149, 768, 404, 536. So, keep reading to learn more.
Given numbers are 468,149,768,404,536
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,149,768,404,536 is 30200092416.
Find LCM of 468,149,768,404,536 with Prime Factorization
| 2 | 468, 149, 768, 404, 536 |
| 2 | 234, 149, 384, 202, 268 |
| 2 | 117, 149, 192, 101, 134 |
| 3 | 117, 149, 96, 101, 67 |
| 39, 149, 32, 101, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 39 x 149 x 32 x 101 x 67 = 30200092416
Therefore, the lowest common multiple of 468,149,768,404,536 is 30200092416.
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.
468 x 149 x 768 x 404 x 536 = 11596835487744
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
149 : 1, 149
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
404 : 1, 2, 4, 101, 202, 404
536 : 1, 2, 4, 8, 67, 134, 268, 536
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,149,768,404,536, is 1.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
149:149
768:2x 2x 2x 2x 2x 2x 2x 2x 3
404:2x 2x 101
536:2x 2x 2x 67
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 3 = 384
Therefore, the value for common factors is 384.
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 = 11596835487744/(1x384)
LCM = 11596835487744/384
LCM = 30200092416
Thus, we can understand that the LCM of 468,149,768,404,536 is 30200092416.
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FAQs on LCM of 468, 149, 768, 404, 536
1. What is the LCM of 468, 149, 768, 404, 536?
Answer: LCM of 468, 149, 768, 404, 536 is 30200092416.
2. How to calculate the LCM of 468, 149, 768, 404, 536?
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 468, 149, 768, 404, 536.
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}.