Find the LCM of 219, 600, 462, 534, 473 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 219, 600, 462, 534, 473. So, keep reading to learn more.
Given numbers are 219,600,462,534,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 219,600,462,534,473 is 12906940200.
Find LCM of 219,600,462,534,473 with Prime Factorization
2 | 219, 600, 462, 534, 473 |
3 | 219, 300, 231, 267, 473 |
11 | 73, 100, 77, 89, 473 |
73, 100, 7, 89, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 73 x 100 x 7 x 89 x 43 = 12906940200
Therefore, the lowest common multiple of 219,600,462,534,473 is 12906940200.
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.
219 x 600 x 462 x 534 x 473 = 15333444957600
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.
219 : 1, 3, 73, 219
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
534 : 1, 2, 3, 6, 89, 178, 267, 534
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 219,600,462,534,473, is 1.
Now, the common factors can be found like this.
219:3x 73
600:2x 2x 2x 3x 5x 5
462:2x 3x 7x 11
534:2x 3x 89
473:11x 43
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 3x 3x 3x 11 = 1188
Therefore, the value for common factors is 1188.
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 = 15333444957600/(1x1188)
LCM = 15333444957600/1188
LCM = 12906940200
Thus, we can understand that the LCM of 219,600,462,534,473 is 12906940200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 219, 600, 462, 534, 473?
Answer: LCM of 219, 600, 462, 534, 473 is 12906940200.
2. How to calculate the LCM of 219, 600, 462, 534, 473?
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 219, 600, 462, 534, 473.
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}.