LCM of 405, 936, 220, 371, 795
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 936, 220, 371, 795 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 405, 936, 220, 371, 795. So, keep reading to learn more.
Given numbers are 405,936,220,371,795
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,936,220,371,795 is 171891720.
Find LCM of 405,936,220,371,795 with Prime Factorization
| 2 | 405, 936, 220, 371, 795 |
| 2 | 405, 468, 110, 371, 795 |
| 3 | 405, 234, 55, 371, 795 |
| 3 | 135, 78, 55, 371, 265 |
| 5 | 45, 26, 55, 371, 265 |
| 53 | 9, 26, 11, 371, 53 |
| 9, 26, 11, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 53 x 9 x 26 x 11 x 7 x 1 = 171891720
Therefore, the lowest common multiple of 405,936,220,371,795 is 171891720.
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.
405 x 936 x 220 x 371 x 795 = 24597705132000
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
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
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
371 : 1, 7, 53, 371
795 : 1, 3, 5, 15, 53, 159, 265, 795
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,936,220,371,795, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
936:2x 2x 2x 3x 3x 13
220:2x 2x 5x 11
371:7x 53
795:3x 5x 53
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 5x 5x 53 = 143100
Therefore, the value for common factors is 143100.
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 = 24597705132000/(1x143100)
LCM = 24597705132000/143100
LCM = 171891720
Thus, we can understand that the LCM of 405,936,220,371,795 is 171891720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 405, 936, 220, 371, 795
1. What is the LCM of 405, 936, 220, 371, 795?
Answer: LCM of 405, 936, 220, 371, 795 is 171891720.
2. How to calculate the LCM of 405, 936, 220, 371, 795?
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 405, 936, 220, 371, 795.
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}.