LCM of 405, 985, 572, 533, 295
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 985, 572, 533, 295 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, 985, 572, 533, 295. So, keep reading to learn more.
Given numbers are 405,985,572,533,295
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,985,572,533,295 is 110395951380.
Find LCM of 405,985,572,533,295 with Prime Factorization
| 5 | 405, 985, 572, 533, 295 |
| 13 | 81, 197, 572, 533, 59 |
| 81, 197, 44, 41, 59 |
Multiply the prime numbers at the bottom and the left side.
5 x 13 x 81 x 197 x 44 x 41 x 59 = 110395951380
Therefore, the lowest common multiple of 405,985,572,533,295 is 110395951380.
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 985 x 572 x 533 x 295 = 35878684198500
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
985 : 1, 5, 197, 985
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
533 : 1, 13, 41, 533
295 : 1, 5, 59, 295
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,985,572,533,295, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
985:5x 197
572:2x 2x 11x 13
533:13x 41
295:5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 13 = 325
Therefore, the value for common factors is 325.
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 = 35878684198500/(1x325)
LCM = 35878684198500/325
LCM = 110395951380
Thus, we can understand that the LCM of 405,985,572,533,295 is 110395951380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 405, 985, 572, 533, 295
1. What is the LCM of 405, 985, 572, 533, 295?
Answer: LCM of 405, 985, 572, 533, 295 is 110395951380.
2. How to calculate the LCM of 405, 985, 572, 533, 295?
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, 985, 572, 533, 295.
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}.