LCM of 520, 442, 409, 735, 287
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 520, 442, 409, 735, 287 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 520, 442, 409, 735, 287. So, keep reading to learn more.
Given numbers are 520,442,409,735,287
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 520,442,409,735,287 is 21790980120.
Find LCM of 520,442,409,735,287 with Prime Factorization
| 2 | 520, 442, 409, 735, 287 |
| 5 | 260, 221, 409, 735, 287 |
| 7 | 52, 221, 409, 147, 287 |
| 13 | 52, 221, 409, 21, 41 |
| 4, 17, 409, 21, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 13 x 4 x 17 x 409 x 21 x 41 = 21790980120
Therefore, the lowest common multiple of 520,442,409,735,287 is 21790980120.
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.
520 x 442 x 409 x 735 x 287 = 19829791909200
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.
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
442 : 1, 2, 13, 17, 26, 34, 221, 442
409 : 1, 409
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
287 : 1, 7, 41, 287
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,442,409,735,287, is 1.
Now, the common factors can be found like this.
520:2x 2x 2x 5x 13
442:2x 13x 17
409:409
735:3x 5x 7x 7
287:7x 41
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 7x 13 = 910
Therefore, the value for common factors is 910.
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 = 19829791909200/(1x910)
LCM = 19829791909200/910
LCM = 21790980120
Thus, we can understand that the LCM of 520,442,409,735,287 is 21790980120.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 520, 442, 409, 735, 287
1. What is the LCM of 520, 442, 409, 735, 287?
Answer: LCM of 520, 442, 409, 735, 287 is 21790980120.
2. How to calculate the LCM of 520, 442, 409, 735, 287?
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 520, 442, 409, 735, 287.
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}.