Find the LCM of 900, 204, 327, 564, 288 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 900, 204, 327, 564, 288. So, keep reading to learn more.
Given numbers are 900,204,327,564,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,204,327,564,288 is 627055200.
Find LCM of 900,204,327,564,288 with Prime Factorization
2 | 900, 204, 327, 564, 288 |
2 | 450, 102, 327, 282, 144 |
3 | 225, 51, 327, 141, 72 |
3 | 75, 17, 109, 47, 24 |
25, 17, 109, 47, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 25 x 17 x 109 x 47 x 8 = 627055200
Therefore, the lowest common multiple of 900,204,327,564,288 is 627055200.
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.
900 x 204 x 327 x 564 x 288 = 9751962470400
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.
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
327 : 1, 3, 109, 327
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,204,327,564,288, is 3.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
204:2x 2x 3x 17
327:3x 109
564:2x 2x 3x 47
288:2x 2x 2x 2x 2x 3x 3
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 2x 3x 3x 3x 3 = 5184
Therefore, the value for common factors is 5184.
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 = 9751962470400/(3x5184)
LCM = 9751962470400/15552
LCM = 627055200
Thus, we can understand that the LCM of 900,204,327,564,288 is 627055200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 900, 204, 327, 564, 288?
Answer: LCM of 900, 204, 327, 564, 288 is 627055200.
2. How to calculate the LCM of 900, 204, 327, 564, 288?
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 900, 204, 327, 564, 288.
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}.