LCM of 440, 165, 745, 439, 842
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 440, 165, 745, 439, 842 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 440, 165, 745, 439, 842. So, keep reading to learn more.
Given numbers are 440,165,745,439,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 440,165,745,439,842 is 36350200920.
Find LCM of 440,165,745,439,842 with Prime Factorization
| 2 | 440, 165, 745, 439, 842 |
| 5 | 220, 165, 745, 439, 421 |
| 11 | 44, 33, 149, 439, 421 |
| 4, 3, 149, 439, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 4 x 3 x 149 x 439 x 421 = 36350200920
Therefore, the lowest common multiple of 440,165,745,439,842 is 36350200920.
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.
440 x 165 x 745 x 439 x 842 = 19992610506000
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.
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
165 : 1, 3, 5, 11, 15, 33, 55, 165
745 : 1, 5, 149, 745
439 : 1, 439
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,165,745,439,842, is 1.
Now, the common factors can be found like this.
440:2x 2x 2x 5x 11
165:3x 5x 11
745:5x 149
439:439
842:2x 421
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 11 = 550
Therefore, the value for common factors is 550.
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 = 19992610506000/(1x550)
LCM = 19992610506000/550
LCM = 36350200920
Thus, we can understand that the LCM of 440,165,745,439,842 is 36350200920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 440, 165, 745, 439, 842
1. What is the LCM of 440, 165, 745, 439, 842?
Answer: LCM of 440, 165, 745, 439, 842 is 36350200920.
2. How to calculate the LCM of 440, 165, 745, 439, 842?
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 440, 165, 745, 439, 842.
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}.