Find the LCM of 422, 462, 252, 396, 354 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 422, 462, 252, 396, 354. So, keep reading to learn more.
Given numbers are 422,462,252,396,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,462,252,396,354 is 34508628.
Find LCM of 422,462,252,396,354 with Prime Factorization
2 | 422, 462, 252, 396, 354 |
2 | 211, 231, 126, 198, 177 |
3 | 211, 231, 63, 99, 177 |
3 | 211, 77, 21, 33, 59 |
7 | 211, 77, 7, 11, 59 |
11 | 211, 11, 1, 11, 59 |
211, 1, 1, 1, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 11 x 211 x 1 x 1 x 1 x 59 = 34508628
Therefore, the lowest common multiple of 422,462,252,396,354 is 34508628.
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.
422 x 462 x 252 x 396 x 354 = 6887370010752
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.
422 : 1, 2, 211, 422
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
354 : 1, 2, 3, 6, 59, 118, 177, 354
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,462,252,396,354, is 2.
Now, the common factors can be found like this.
422:2x 211
462:2x 3x 7x 11
252:2x 2x 3x 3x 7
396:2x 2x 3x 3x 11
354:2x 3x 59
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 3x 3x 7x 11 = 99792
Therefore, the value for common factors is 99792.
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 = 6887370010752/(2x99792)
LCM = 6887370010752/199584
LCM = 34508628
Thus, we can understand that the LCM of 422,462,252,396,354 is 34508628.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 422, 462, 252, 396, 354?
Answer: LCM of 422, 462, 252, 396, 354 is 34508628.
2. How to calculate the LCM of 422, 462, 252, 396, 354?
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 422, 462, 252, 396, 354.
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}.