LCM of 396, 978, 128, 376, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 978, 128, 376, 442 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 396, 978, 128, 376, 442. So, keep reading to learn more.
Given numbers are 396,978,128,376,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,978,128,376,442 is 21454722432.
Find LCM of 396,978,128,376,442 with Prime Factorization
| 2 | 396, 978, 128, 376, 442 |
| 2 | 198, 489, 64, 188, 221 |
| 2 | 99, 489, 32, 94, 221 |
| 3 | 99, 489, 16, 47, 221 |
| 33, 163, 16, 47, 221 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 33 x 163 x 16 x 47 x 221 = 21454722432
Therefore, the lowest common multiple of 396,978,128,376,442 is 21454722432.
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.
396 x 978 x 128 x 376 x 442 = 8238613413888
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
978 : 1, 2, 3, 6, 163, 326, 489, 978
128 : 1, 2, 4, 8, 16, 32, 64, 128
376 : 1, 2, 4, 8, 47, 94, 188, 376
442 : 1, 2, 13, 17, 26, 34, 221, 442
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,978,128,376,442, is 2.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
978:2x 3x 163
128:2x 2x 2x 2x 2x 2x 2
376:2x 2x 2x 47
442:2x 13x 17
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 = 8238613413888/(2x192)
LCM = 8238613413888/384
LCM = 21454722432
Thus, we can understand that the LCM of 396,978,128,376,442 is 21454722432.
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FAQs on LCM of 396, 978, 128, 376, 442
1. What is the LCM of 396, 978, 128, 376, 442?
Answer: LCM of 396, 978, 128, 376, 442 is 21454722432.
2. How to calculate the LCM of 396, 978, 128, 376, 442?
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 396, 978, 128, 376, 442.
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}.