LCM of 439, 416, 417, 345, 870
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 439, 416, 417, 345, 870 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 439, 416, 417, 345, 870. So, keep reading to learn more.
Given numbers are 439,416,417,345,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 439,416,417,345,870 is 253974283680.
Find LCM of 439,416,417,345,870 with Prime Factorization
| 2 | 439, 416, 417, 345, 870 |
| 3 | 439, 208, 417, 345, 435 |
| 5 | 439, 208, 139, 115, 145 |
| 439, 208, 139, 23, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 439 x 208 x 139 x 23 x 29 = 253974283680
Therefore, the lowest common multiple of 439,416,417,345,870 is 253974283680.
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.
439 x 416 x 417 x 345 x 870 = 22857685531200
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.
439 : 1, 439
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
417 : 1, 3, 139, 417
345 : 1, 3, 5, 15, 23, 69, 115, 345
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,416,417,345,870, is 1.
Now, the common factors can be found like this.
439:439
416:2x 2x 2x 2x 2x 13
417:3x 139
345:3x 5x 23
870:2x 3x 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.
2x 3x 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 22857685531200/(1x90)
LCM = 22857685531200/90
LCM = 253974283680
Thus, we can understand that the LCM of 439,416,417,345,870 is 253974283680.
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FAQs on LCM of 439, 416, 417, 345, 870
1. What is the LCM of 439, 416, 417, 345, 870?
Answer: LCM of 439, 416, 417, 345, 870 is 253974283680.
2. How to calculate the LCM of 439, 416, 417, 345, 870?
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 439, 416, 417, 345, 870.
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}.