LCM of 786, 356, 356, 208, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 786, 356, 356, 208, 408 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 786, 356, 356, 208, 408. So, keep reading to learn more.
Given numbers are 786,356,356,208,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,356,356,208,408 is 123678672.
Find LCM of 786,356,356,208,408 with Prime Factorization
| 2 | 786, 356, 356, 208, 408 |
| 2 | 393, 178, 178, 104, 204 |
| 2 | 393, 89, 89, 52, 102 |
| 3 | 393, 89, 89, 26, 51 |
| 89 | 131, 89, 89, 26, 17 |
| 131, 1, 1, 26, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 89 x 131 x 1 x 1 x 26 x 17 = 123678672
Therefore, the lowest common multiple of 786,356,356,208,408 is 123678672.
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.
786 x 356 x 356 x 208 x 408 = 8453684588544
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
356 : 1, 2, 4, 89, 178, 356
356 : 1, 2, 4, 89, 178, 356
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,356,356,208,408, is 2.
Now, the common factors can be found like this.
786:2x 3x 131
356:2x 2x 89
356:2x 2x 89
208:2x 2x 2x 2x 13
408:2x 2x 2x 3x 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 2x 3x 89 = 34176
Therefore, the value for common factors is 34176.
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 = 8453684588544/(2x34176)
LCM = 8453684588544/68352
LCM = 123678672
Thus, we can understand that the LCM of 786,356,356,208,408 is 123678672.
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FAQs on LCM of 786, 356, 356, 208, 408
1. What is the LCM of 786, 356, 356, 208, 408?
Answer: LCM of 786, 356, 356, 208, 408 is 123678672.
2. How to calculate the LCM of 786, 356, 356, 208, 408?
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 786, 356, 356, 208, 408.
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}.