LCM of 416, 307, 240, 698, 443
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 307, 240, 698, 443 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 416, 307, 240, 698, 443. So, keep reading to learn more.
Given numbers are 416,307,240,698,443
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,307,240,698,443 is 296177537760.
Find LCM of 416,307,240,698,443 with Prime Factorization
| 2 | 416, 307, 240, 698, 443 |
| 2 | 208, 307, 120, 349, 443 |
| 2 | 104, 307, 60, 349, 443 |
| 2 | 52, 307, 30, 349, 443 |
| 26, 307, 15, 349, 443 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 26 x 307 x 15 x 349 x 443 = 296177537760
Therefore, the lowest common multiple of 416,307,240,698,443 is 296177537760.
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.
416 x 307 x 240 x 698 x 443 = 9477681208320
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
307 : 1, 307
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
698 : 1, 2, 349, 698
443 : 1, 443
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,307,240,698,443, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
307:307
240:2x 2x 2x 2x 3x 5
698:2x 349
443:443
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 2x 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 9477681208320/(1x32)
LCM = 9477681208320/32
LCM = 296177537760
Thus, we can understand that the LCM of 416,307,240,698,443 is 296177537760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 416, 307, 240, 698, 443
1. What is the LCM of 416, 307, 240, 698, 443?
Answer: LCM of 416, 307, 240, 698, 443 is 296177537760.
2. How to calculate the LCM of 416, 307, 240, 698, 443?
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 416, 307, 240, 698, 443.
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}.