Find the LCM of 336, 906, 418, 526, 552 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 336, 906, 418, 526, 552. So, keep reading to learn more.
Given numbers are 336,906,418,526,552
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,906,418,526,552 is 64142531376.
Find LCM of 336,906,418,526,552 with Prime Factorization
2 | 336, 906, 418, 526, 552 |
2 | 168, 453, 209, 263, 276 |
2 | 84, 453, 209, 263, 138 |
3 | 42, 453, 209, 263, 69 |
14, 151, 209, 263, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 14 x 151 x 209 x 263 x 23 = 64142531376
Therefore, the lowest common multiple of 336,906,418,526,552 is 64142531376.
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.
336 x 906 x 418 x 526 x 552 = 36946098072576
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.
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
906 : 1, 2, 3, 6, 151, 302, 453, 906
418 : 1, 2, 11, 19, 22, 38, 209, 418
526 : 1, 2, 263, 526
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,906,418,526,552, is 2.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
906:2x 3x 151
418:2x 11x 19
526:2x 263
552:2x 2x 2x 3x 23
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 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 36946098072576/(2x288)
LCM = 36946098072576/576
LCM = 64142531376
Thus, we can understand that the LCM of 336,906,418,526,552 is 64142531376.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 336, 906, 418, 526, 552?
Answer: LCM of 336, 906, 418, 526, 552 is 64142531376.
2. How to calculate the LCM of 336, 906, 418, 526, 552?
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 336, 906, 418, 526, 552.
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}.