Find the LCM of 923, 164, 564, 468, 900 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 923, 164, 564, 468, 900. So, keep reading to learn more.
Given numbers are 923,164,564,468,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,164,564,468,900 is 1600758900.
Find LCM of 923,164,564,468,900 with Prime Factorization
2 | 923, 164, 564, 468, 900 |
2 | 923, 82, 282, 234, 450 |
3 | 923, 41, 141, 117, 225 |
3 | 923, 41, 47, 39, 75 |
13 | 923, 41, 47, 13, 25 |
71, 41, 47, 1, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 71 x 41 x 47 x 1 x 25 = 1600758900
Therefore, the lowest common multiple of 923,164,564,468,900 is 1600758900.
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.
923 x 164 x 564 x 468 x 900 = 35959447929600
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.
923 : 1, 13, 71, 923
164 : 1, 2, 4, 41, 82, 164
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,164,564,468,900, is 1.
Now, the common factors can be found like this.
923:13x 71
164:2x 2x 41
564:2x 2x 3x 47
468:2x 2x 3x 3x 13
900:2x 2x 3x 3x 5x 5
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 13 = 22464
Therefore, the value for common factors is 22464.
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 = 35959447929600/(1x22464)
LCM = 35959447929600/22464
LCM = 1600758900
Thus, we can understand that the LCM of 923,164,564,468,900 is 1600758900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 923, 164, 564, 468, 900?
Answer: LCM of 923, 164, 564, 468, 900 is 1600758900.
2. How to calculate the LCM of 923, 164, 564, 468, 900?
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 923, 164, 564, 468, 900.
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}.