Find the LCM of 409, 579, 299, 414, 252 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, 579, 299, 414, 252. So, keep reading to learn more.
Given numbers are 409,579,299,414,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,579,299,414,252 is 5947745076.
Find LCM of 409,579,299,414,252 with Prime Factorization
2 | 409, 579, 299, 414, 252 |
3 | 409, 579, 299, 207, 126 |
3 | 409, 193, 299, 69, 42 |
23 | 409, 193, 299, 23, 14 |
409, 193, 13, 1, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 409 x 193 x 13 x 1 x 14 = 5947745076
Therefore, the lowest common multiple of 409,579,299,414,252 is 5947745076.
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 579 x 299 x 414 x 252 = 7387099384392
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
579 : 1, 3, 193, 579
299 : 1, 13, 23, 299
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,579,299,414,252, is 1.
Now, the common factors can be found like this.
409:409
579:3x 193
299:13x 23
414:2x 3x 3x 23
252:2x 2x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 23 = 1242
Therefore, the value for common factors is 1242.
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 = 7387099384392/(1x1242)
LCM = 7387099384392/1242
LCM = 5947745076
Thus, we can understand that the LCM of 409,579,299,414,252 is 5947745076.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 409, 579, 299, 414, 252?
Answer: LCM of 409, 579, 299, 414, 252 is 5947745076.
2. How to calculate the LCM of 409, 579, 299, 414, 252?
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, 579, 299, 414, 252.
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}.