LCM of 409, 760, 129, 384, 258
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 760, 129, 384, 258 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, 760, 129, 384, 258. So, keep reading to learn more.
Given numbers are 409,760,129,384,258
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,760,129,384,258 is 641573760.
Find LCM of 409,760,129,384,258 with Prime Factorization
| 2 | 409, 760, 129, 384, 258 |
| 2 | 409, 380, 129, 192, 129 |
| 2 | 409, 190, 129, 96, 129 |
| 3 | 409, 95, 129, 48, 129 |
| 43 | 409, 95, 43, 16, 43 |
| 409, 95, 1, 16, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 43 x 409 x 95 x 1 x 16 x 1 = 641573760
Therefore, the lowest common multiple of 409,760,129,384,258 is 641573760.
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 760 x 129 x 384 x 258 = 3972624721920
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
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
129 : 1, 3, 43, 129
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
258 : 1, 2, 3, 6, 43, 86, 129, 258
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,760,129,384,258, is 1.
Now, the common factors can be found like this.
409:409
760:2x 2x 2x 5x 19
129:3x 43
384:2x 2x 2x 2x 2x 2x 2x 3
258:2x 3x 43
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 3x 43 = 6192
Therefore, the value for common factors is 6192.
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 = 3972624721920/(1x6192)
LCM = 3972624721920/6192
LCM = 641573760
Thus, we can understand that the LCM of 409,760,129,384,258 is 641573760.
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FAQs on LCM of 409, 760, 129, 384, 258
1. What is the LCM of 409, 760, 129, 384, 258?
Answer: LCM of 409, 760, 129, 384, 258 is 641573760.
2. How to calculate the LCM of 409, 760, 129, 384, 258?
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, 760, 129, 384, 258.
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}.