Find the LCM of 990, 436, 552, 181, 327 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 990, 436, 552, 181, 327. So, keep reading to learn more.
Given numbers are 990,436,552,181,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 990,436,552,181,327 is 1796917320.
Find LCM of 990,436,552,181,327 with Prime Factorization
2 | 990, 436, 552, 181, 327 |
2 | 495, 218, 276, 181, 327 |
3 | 495, 109, 138, 181, 327 |
109 | 165, 109, 46, 181, 109 |
165, 1, 46, 181, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 109 x 165 x 1 x 46 x 181 x 1 = 1796917320
Therefore, the lowest common multiple of 990,436,552,181,327 is 1796917320.
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.
990 x 436 x 552 x 181 x 327 = 14102207127360
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.
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
436 : 1, 2, 4, 109, 218, 436
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
181 : 1, 181
327 : 1, 3, 109, 327
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,436,552,181,327, is 1.
Now, the common factors can be found like this.
990:2x 3x 3x 5x 11
436:2x 2x 109
552:2x 2x 2x 3x 23
181:181
327:3x 109
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 3x 3x 109 = 7848
Therefore, the value for common factors is 7848.
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 = 14102207127360/(1x7848)
LCM = 14102207127360/7848
LCM = 1796917320
Thus, we can understand that the LCM of 990,436,552,181,327 is 1796917320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 990, 436, 552, 181, 327?
Answer: LCM of 990, 436, 552, 181, 327 is 1796917320.
2. How to calculate the LCM of 990, 436, 552, 181, 327?
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 990, 436, 552, 181, 327.
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}.