LCM of 409, 646, 744, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 646, 744, 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 409, 646, 744, 408. So, keep reading to learn more.
Given numbers are 409,646,744,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,646,744,408 is 98287608.
Find LCM of 409,646,744,408 with Prime Factorization
| 2 | 409, 646, 744, 408 |
| 2 | 409, 323, 372, 204 |
| 2 | 409, 323, 186, 102 |
| 3 | 409, 323, 93, 51 |
| 17 | 409, 323, 31, 17 |
| 409, 19, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 409 x 19 x 31 x 1 = 98287608
Therefore, the lowest common multiple of 409,646,744,408 is 98287608.
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.
409 x 646 x 744 x 408 = 80202688128
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.
409 : 1, 409
646 : 1, 2, 17, 19, 34, 38, 323, 646
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,646,744,408, is 1.
Now, the common factors can be found like this.
409:409
646:2x 17x 19
744:2x 2x 2x 3x 31
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 3x 17 = 816
Therefore, the value for common factors is 816.
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 = 80202688128/(1x816)
LCM = 80202688128/816
LCM = 98287608
Thus, we can understand that the LCM of 409,646,744,408 is 98287608.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 409, 646, 744, 408
1. What is the LCM of 409, 646, 744, 408?
Answer: LCM of 409, 646, 744, 408 is 98287608.
2. How to calculate the LCM of 409, 646, 744, 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 409, 646, 744, 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}.