Find the LCM of 392, 532, 973, 990, 449 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 392, 532, 973, 990, 449. So, keep reading to learn more.
Given numbers are 392,532,973,990,449
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 392,532,973,990,449 is 230094378360.
Find LCM of 392,532,973,990,449 with Prime Factorization
2 | 392, 532, 973, 990, 449 |
2 | 196, 266, 973, 495, 449 |
7 | 98, 133, 973, 495, 449 |
14, 19, 139, 495, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 14 x 19 x 139 x 495 x 449 = 230094378360
Therefore, the lowest common multiple of 392,532,973,990,449 is 230094378360.
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.
392 x 532 x 973 x 990 x 449 = 90196996317120
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.
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
973 : 1, 7, 139, 973
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
449 : 1, 449
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,532,973,990,449, is 1.
Now, the common factors can be found like this.
392:2x 2x 2x 7x 7
532:2x 2x 7x 19
973:7x 139
990:2x 3x 3x 5x 11
449:449
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 7x 7 = 392
Therefore, the value for common factors is 392.
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 = 90196996317120/(1x392)
LCM = 90196996317120/392
LCM = 230094378360
Thus, we can understand that the LCM of 392,532,973,990,449 is 230094378360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 392, 532, 973, 990, 449?
Answer: LCM of 392, 532, 973, 990, 449 is 230094378360.
2. How to calculate the LCM of 392, 532, 973, 990, 449?
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 392, 532, 973, 990, 449.
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}.