LCM of 927, 444, 515, 588, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 927, 444, 515, 588, 495 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 927, 444, 515, 588, 495. So, keep reading to learn more.
Given numbers are 927,444,515,588,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 927,444,515,588,495 is 369743220.
Find LCM of 927,444,515,588,495 with Prime Factorization
| 2 | 927, 444, 515, 588, 495 |
| 2 | 927, 222, 515, 294, 495 |
| 3 | 927, 111, 515, 147, 495 |
| 3 | 309, 37, 515, 49, 165 |
| 5 | 103, 37, 515, 49, 55 |
| 103 | 103, 37, 103, 49, 11 |
| 1, 37, 1, 49, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 103 x 1 x 37 x 1 x 49 x 11 = 369743220
Therefore, the lowest common multiple of 927,444,515,588,495 is 369743220.
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.
927 x 444 x 515 x 588 x 495 = 61695353689200
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.
927 : 1, 3, 9, 103, 309, 927
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
515 : 1, 5, 103, 515
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,444,515,588,495, is 1.
Now, the common factors can be found like this.
927:3x 3x 103
444:2x 2x 3x 37
515:5x 103
588:2x 2x 3x 7x 7
495:3x 3x 5x 11
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 3x 5x 103 = 166860
Therefore, the value for common factors is 166860.
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 = 61695353689200/(1x166860)
LCM = 61695353689200/166860
LCM = 369743220
Thus, we can understand that the LCM of 927,444,515,588,495 is 369743220.
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FAQs on LCM of 927, 444, 515, 588, 495
1. What is the LCM of 927, 444, 515, 588, 495?
Answer: LCM of 927, 444, 515, 588, 495 is 369743220.
2. How to calculate the LCM of 927, 444, 515, 588, 495?
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 927, 444, 515, 588, 495.
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}.