LCM of 704, 359, 792, 386, 359
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 359, 792, 386, 359 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 704, 359, 792, 386, 359. So, keep reading to learn more.
Given numbers are 704,359,792,386,359
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,359,792,386,359 is 439002432.
Find LCM of 704,359,792,386,359 with Prime Factorization
| 2 | 704, 359, 792, 386, 359 |
| 2 | 352, 359, 396, 193, 359 |
| 2 | 176, 359, 198, 193, 359 |
| 11 | 88, 359, 99, 193, 359 |
| 359 | 8, 359, 9, 193, 359 |
| 8, 1, 9, 193, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 359 x 8 x 1 x 9 x 193 x 1 = 439002432
Therefore, the lowest common multiple of 704,359,792,386,359 is 439002432.
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.
704 x 359 x 792 x 386 x 359 = 27737929663488
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
359 : 1, 359
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
386 : 1, 2, 193, 386
359 : 1, 359
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,359,792,386,359, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
359:359
792:2x 2x 2x 3x 3x 11
386:2x 193
359:359
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 11x 359 = 63184
Therefore, the value for common factors is 63184.
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 = 27737929663488/(1x63184)
LCM = 27737929663488/63184
LCM = 439002432
Thus, we can understand that the LCM of 704,359,792,386,359 is 439002432.
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FAQs on LCM of 704, 359, 792, 386, 359
1. What is the LCM of 704, 359, 792, 386, 359?
Answer: LCM of 704, 359, 792, 386, 359 is 439002432.
2. How to calculate the LCM of 704, 359, 792, 386, 359?
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 704, 359, 792, 386, 359.
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}.