LCM of 704, 792, 148, 666, 386
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 792, 148, 666, 386 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, 792, 148, 666, 386. So, keep reading to learn more.
Given numbers are 704,792,148,666,386
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,792,148,666,386 is 45245376.
Find LCM of 704,792,148,666,386 with Prime Factorization
| 2 | 704, 792, 148, 666, 386 |
| 2 | 352, 396, 74, 333, 193 |
| 2 | 176, 198, 37, 333, 193 |
| 3 | 88, 99, 37, 333, 193 |
| 3 | 88, 33, 37, 111, 193 |
| 11 | 88, 11, 37, 37, 193 |
| 37 | 8, 1, 37, 37, 193 |
| 8, 1, 1, 1, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 11 x 37 x 8 x 1 x 1 x 1 x 193 = 45245376
Therefore, the lowest common multiple of 704,792,148,666,386 is 45245376.
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 792 x 148 x 666 x 386 = 21213927972864
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
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
148 : 1, 2, 4, 37, 74, 148
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
386 : 1, 2, 193, 386
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,792,148,666,386, is 2.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
792:2x 2x 2x 3x 3x 11
148:2x 2x 37
666:2x 3x 3x 37
386:2x 193
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 3x 3x 11x 37 = 234432
Therefore, the value for common factors is 234432.
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 = 21213927972864/(2x234432)
LCM = 21213927972864/468864
LCM = 45245376
Thus, we can understand that the LCM of 704,792,148,666,386 is 45245376.
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FAQs on LCM of 704, 792, 148, 666, 386
1. What is the LCM of 704, 792, 148, 666, 386?
Answer: LCM of 704, 792, 148, 666, 386 is 45245376.
2. How to calculate the LCM of 704, 792, 148, 666, 386?
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, 792, 148, 666, 386.
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}.