LCM of 409, 736, 345, 365, 508
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 736, 345, 365, 508 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, 736, 345, 365, 508. So, keep reading to learn more.
Given numbers are 409,736,345,365,508
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,736,345,365,508 is 41861902560.
Find LCM of 409,736,345,365,508 with Prime Factorization
| 2 | 409, 736, 345, 365, 508 |
| 2 | 409, 368, 345, 365, 254 |
| 5 | 409, 184, 345, 365, 127 |
| 23 | 409, 184, 69, 73, 127 |
| 409, 8, 3, 73, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 409 x 8 x 3 x 73 x 127 = 41861902560
Therefore, the lowest common multiple of 409,736,345,365,508 is 41861902560.
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 736 x 345 x 365 x 508 = 19256475177600
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
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
345 : 1, 3, 5, 15, 23, 69, 115, 345
365 : 1, 5, 73, 365
508 : 1, 2, 4, 127, 254, 508
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,736,345,365,508, is 1.
Now, the common factors can be found like this.
409:409
736:2x 2x 2x 2x 2x 23
345:3x 5x 23
365:5x 73
508:2x 2x 127
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 5x 23 = 460
Therefore, the value for common factors is 460.
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 = 19256475177600/(1x460)
LCM = 19256475177600/460
LCM = 41861902560
Thus, we can understand that the LCM of 409,736,345,365,508 is 41861902560.
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FAQs on LCM of 409, 736, 345, 365, 508
1. What is the LCM of 409, 736, 345, 365, 508?
Answer: LCM of 409, 736, 345, 365, 508 is 41861902560.
2. How to calculate the LCM of 409, 736, 345, 365, 508?
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, 736, 345, 365, 508.
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}.