LCM of 455, 287, 845, 575, 145
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 455, 287, 845, 575, 145 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 455, 287, 845, 575, 145. So, keep reading to learn more.
Given numbers are 455,287,845,575,145
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 455,287,845,575,145 is 808787525.
Find LCM of 455,287,845,575,145 with Prime Factorization
| 5 | 455, 287, 845, 575, 145 |
| 7 | 91, 287, 169, 115, 29 |
| 13 | 13, 41, 169, 115, 29 |
| 1, 41, 13, 115, 29 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 13 x 1 x 41 x 13 x 115 x 29 = 808787525
Therefore, the lowest common multiple of 455,287,845,575,145 is 808787525.
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.
455 x 287 x 845 x 575 x 145 = 9199958096875
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.
455 : 1, 5, 7, 13, 35, 65, 91, 455
287 : 1, 7, 41, 287
845 : 1, 5, 13, 65, 169, 845
575 : 1, 5, 23, 25, 115, 575
145 : 1, 5, 29, 145
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,287,845,575,145, is 1.
Now, the common factors can be found like this.
455:5x 7x 13
287:7x 41
845:5x 13x 13
575:5x 5x 23
145:5x 29
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 5x 7x 13 = 11375
Therefore, the value for common factors is 11375.
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 = 9199958096875/(1x11375)
LCM = 9199958096875/11375
LCM = 808787525
Thus, we can understand that the LCM of 455,287,845,575,145 is 808787525.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 455, 287, 845, 575, 145
1. What is the LCM of 455, 287, 845, 575, 145?
Answer: LCM of 455, 287, 845, 575, 145 is 808787525.
2. How to calculate the LCM of 455, 287, 845, 575, 145?
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 455, 287, 845, 575, 145.
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}.