LCM of 413, 273, 198, 870, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 413, 273, 198, 870, 442 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 413, 273, 198, 870, 442. So, keep reading to learn more.
Given numbers are 413,273,198,870,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 413,273,198,870,442 is 2620447830.
Find LCM of 413,273,198,870,442 with Prime Factorization
| 2 | 413, 273, 198, 870, 442 |
| 3 | 413, 273, 99, 435, 221 |
| 7 | 413, 91, 33, 145, 221 |
| 13 | 59, 13, 33, 145, 221 |
| 59, 1, 33, 145, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 59 x 1 x 33 x 145 x 17 = 2620447830
Therefore, the lowest common multiple of 413,273,198,870,442 is 2620447830.
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.
413 x 273 x 198 x 870 x 442 = 8584587091080
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.
413 : 1, 7, 59, 413
273 : 1, 3, 7, 13, 21, 39, 91, 273
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,273,198,870,442, is 1.
Now, the common factors can be found like this.
413:7x 59
273:3x 7x 13
198:2x 3x 3x 11
870:2x 3x 5x 29
442:2x 13x 17
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 7x 13 = 3276
Therefore, the value for common factors is 3276.
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 = 8584587091080/(1x3276)
LCM = 8584587091080/3276
LCM = 2620447830
Thus, we can understand that the LCM of 413,273,198,870,442 is 2620447830.
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FAQs on LCM of 413, 273, 198, 870, 442
1. What is the LCM of 413, 273, 198, 870, 442?
Answer: LCM of 413, 273, 198, 870, 442 is 2620447830.
2. How to calculate the LCM of 413, 273, 198, 870, 442?
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 413, 273, 198, 870, 442.
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}.