Find the LCM of 440, 606, 572, 306, 638 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 440, 606, 572, 306, 638. So, keep reading to learn more.
Given numbers are 440,606,572,306,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 440,606,572,306,638 is 2563343640.
Find LCM of 440,606,572,306,638 with Prime Factorization
2 | 440, 606, 572, 306, 638 |
2 | 220, 303, 286, 153, 319 |
3 | 110, 303, 143, 153, 319 |
11 | 110, 101, 143, 51, 319 |
10, 101, 13, 51, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 10 x 101 x 13 x 51 x 29 = 2563343640
Therefore, the lowest common multiple of 440,606,572,306,638 is 2563343640.
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.
440 x 606 x 572 x 306 x 638 = 29775799722240
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.
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
606 : 1, 2, 3, 6, 101, 202, 303, 606
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
638 : 1, 2, 11, 22, 29, 58, 319, 638
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,606,572,306,638, is 2.
Now, the common factors can be found like this.
440:2x 2x 2x 5x 11
606:2x 3x 101
572:2x 2x 11x 13
306:2x 3x 3x 17
638:2x 11x 29
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 11x 11 = 5808
Therefore, the value for common factors is 5808.
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 = 29775799722240/(2x5808)
LCM = 29775799722240/11616
LCM = 2563343640
Thus, we can understand that the LCM of 440,606,572,306,638 is 2563343640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 440, 606, 572, 306, 638?
Answer: LCM of 440, 606, 572, 306, 638 is 2563343640.
2. How to calculate the LCM of 440, 606, 572, 306, 638?
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 440, 606, 572, 306, 638.
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}.