LCM of 906, 423, 936, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 423, 936, 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 906, 423, 936, 495. So, keep reading to learn more.
Given numbers are 906,423,936,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,423,936,495 is 365353560.
Find LCM of 906,423,936,495 with Prime Factorization
| 2 | 906, 423, 936, 495 |
| 3 | 453, 423, 468, 495 |
| 3 | 151, 141, 156, 165 |
| 151, 47, 52, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 151 x 47 x 52 x 55 = 365353560
Therefore, the lowest common multiple of 906,423,936,495 is 365353560.
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.
906 x 423 x 936 x 495 = 177561830160
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
423 : 1, 3, 9, 47, 141, 423
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,423,936,495, is 3.
Now, the common factors can be found like this.
906:2x 3x 151
423:3x 3x 47
936:2x 2x 2x 3x 3x 13
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 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 177561830160/(3x162)
LCM = 177561830160/486
LCM = 365353560
Thus, we can understand that the LCM of 906,423,936,495 is 365353560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 906, 423, 936, 495
1. What is the LCM of 906, 423, 936, 495?
Answer: LCM of 906, 423, 936, 495 is 365353560.
2. How to calculate the LCM of 906, 423, 936, 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 906, 423, 936, 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}.