LCM of 384, 412, 912, 461, 349
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 384, 412, 912, 461, 349 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 384, 412, 912, 461, 349. So, keep reading to learn more.
Given numbers are 384,412,912,461,349
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 384,412,912,461,349 is 120906152832.
Find LCM of 384,412,912,461,349 with Prime Factorization
| 2 | 384, 412, 912, 461, 349 |
| 2 | 192, 206, 456, 461, 349 |
| 2 | 96, 103, 228, 461, 349 |
| 2 | 48, 103, 114, 461, 349 |
| 3 | 24, 103, 57, 461, 349 |
| 8, 103, 19, 461, 349 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 8 x 103 x 19 x 461 x 349 = 120906152832
Therefore, the lowest common multiple of 384,412,912,461,349 is 120906152832.
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.
384 x 412 x 912 x 461 x 349 = 23213981343744
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.
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
412 : 1, 2, 4, 103, 206, 412
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
461 : 1, 461
349 : 1, 349
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 384,412,912,461,349, is 1.
Now, the common factors can be found like this.
384:2x 2x 2x 2x 2x 2x 2x 3
412:2x 2x 103
912:2x 2x 2x 2x 3x 19
461:461
349:349
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 3 = 192
Therefore, the value for common factors is 192.
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 = 23213981343744/(1x192)
LCM = 23213981343744/192
LCM = 120906152832
Thus, we can understand that the LCM of 384,412,912,461,349 is 120906152832.
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FAQs on LCM of 384, 412, 912, 461, 349
1. What is the LCM of 384, 412, 912, 461, 349?
Answer: LCM of 384, 412, 912, 461, 349 is 120906152832.
2. How to calculate the LCM of 384, 412, 912, 461, 349?
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 384, 412, 912, 461, 349.
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}.