LCM of 744, 717, 204, 606, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 744, 717, 204, 606, 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 744, 717, 204, 606, 408. So, keep reading to learn more.
Given numbers are 744,717,204,606,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 744,717,204,606,408 is 305310072.
Find LCM of 744,717,204,606,408 with Prime Factorization
| 2 | 744, 717, 204, 606, 408 |
| 2 | 372, 717, 102, 303, 204 |
| 2 | 186, 717, 51, 303, 102 |
| 3 | 93, 717, 51, 303, 51 |
| 17 | 31, 239, 17, 101, 17 |
| 31, 239, 1, 101, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 31 x 239 x 1 x 101 x 1 = 305310072
Therefore, the lowest common multiple of 744,717,204,606,408 is 305310072.
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.
744 x 717 x 204 x 606 x 408 = 26906366025216
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.
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
717 : 1, 3, 239, 717
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
606 : 1, 2, 3, 6, 101, 202, 303, 606
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,717,204,606,408, is 3.
Now, the common factors can be found like this.
744:2x 2x 2x 3x 31
717:3x 239
204:2x 2x 3x 17
606:2x 3x 101
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 3x 3x 3x 17 = 29376
Therefore, the value for common factors is 29376.
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 = 26906366025216/(3x29376)
LCM = 26906366025216/88128
LCM = 305310072
Thus, we can understand that the LCM of 744,717,204,606,408 is 305310072.
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FAQs on LCM of 744, 717, 204, 606, 408
1. What is the LCM of 744, 717, 204, 606, 408?
Answer: LCM of 744, 717, 204, 606, 408 is 305310072.
2. How to calculate the LCM of 744, 717, 204, 606, 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 744, 717, 204, 606, 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}.