Find the LCM of 900, 336, 368, 985, 609 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, 336, 368, 985, 609. So, keep reading to learn more.
Given numbers are 900,336,368,985,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,336,368,985,609 is 3311254800.
Find LCM of 900,336,368,985,609 with Prime Factorization
2 | 900, 336, 368, 985, 609 |
2 | 450, 168, 184, 985, 609 |
2 | 225, 84, 92, 985, 609 |
2 | 225, 42, 46, 985, 609 |
3 | 225, 21, 23, 985, 609 |
5 | 75, 7, 23, 985, 203 |
7 | 15, 7, 23, 197, 203 |
15, 1, 23, 197, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 7 x 15 x 1 x 23 x 197 x 29 = 3311254800
Therefore, the lowest common multiple of 900,336,368,985,609 is 3311254800.
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 336 x 368 x 985 x 609 = 66754896768000
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
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
985 : 1, 5, 197, 985
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,336,368,985,609, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
336:2x 2x 2x 2x 3x 7
368:2x 2x 2x 2x 23
985:5x 197
609:3x 7x 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 2x 2x 3x 3x 5x 7 = 20160
Therefore, the value for common factors is 20160.
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 = 66754896768000/(1x20160)
LCM = 66754896768000/20160
LCM = 3311254800
Thus, we can understand that the LCM of 900,336,368,985,609 is 3311254800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 900, 336, 368, 985, 609?
Answer: LCM of 900, 336, 368, 985, 609 is 3311254800.
2. How to calculate the LCM of 900, 336, 368, 985, 609?
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, 336, 368, 985, 609.
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}.