LCM of 788, 378, 268, 704, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 788, 378, 268, 704, 788 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 788, 378, 268, 704, 788. So, keep reading to learn more.
Given numbers are 788,378,268,704,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 788,378,268,704,788 is 1756206144.
Find LCM of 788,378,268,704,788 with Prime Factorization
| 2 | 788, 378, 268, 704, 788 |
| 2 | 394, 189, 134, 352, 394 |
| 197 | 197, 189, 67, 176, 197 |
| 1, 189, 67, 176, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 197 x 1 x 189 x 67 x 176 x 1 = 1756206144
Therefore, the lowest common multiple of 788,378,268,704,788 is 1756206144.
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.
788 x 378 x 268 x 704 x 788 = 44284494127104
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.
788 : 1, 2, 4, 197, 394, 788
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
268 : 1, 2, 4, 67, 134, 268
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
788 : 1, 2, 4, 197, 394, 788
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,378,268,704,788, is 2.
Now, the common factors can be found like this.
788:2x 2x 197
378:2x 3x 3x 3x 7
268:2x 2x 67
704:2x 2x 2x 2x 2x 2x 11
788:2x 2x 197
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 197 = 12608
Therefore, the value for common factors is 12608.
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 = 44284494127104/(2x12608)
LCM = 44284494127104/25216
LCM = 1756206144
Thus, we can understand that the LCM of 788,378,268,704,788 is 1756206144.
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FAQs on LCM of 788, 378, 268, 704, 788
1. What is the LCM of 788, 378, 268, 704, 788?
Answer: LCM of 788, 378, 268, 704, 788 is 1756206144.
2. How to calculate the LCM of 788, 378, 268, 704, 788?
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 788, 378, 268, 704, 788.
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}.