LCM of 416, 349, 644, 507, 698
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 349, 644, 507, 698 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, 349, 644, 507, 698. So, keep reading to learn more.
Given numbers are 416,349,644,507,698
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,349,644,507,698 is 911610336.
Find LCM of 416,349,644,507,698 with Prime Factorization
| 2 | 416, 349, 644, 507, 698 |
| 2 | 208, 349, 322, 507, 349 |
| 13 | 104, 349, 161, 507, 349 |
| 349 | 8, 349, 161, 39, 349 |
| 8, 1, 161, 39, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 349 x 8 x 1 x 161 x 39 x 1 = 911610336
Therefore, the lowest common multiple of 416,349,644,507,698 is 911610336.
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 349 x 644 x 507 x 698 = 33087808755456
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
349 : 1, 349
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
507 : 1, 3, 13, 39, 169, 507
698 : 1, 2, 349, 698
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,349,644,507,698, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
349:349
644:2x 2x 7x 23
507:3x 13x 13
698:2x 349
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 13x 349 = 36296
Therefore, the value for common factors is 36296.
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 = 33087808755456/(1x36296)
LCM = 33087808755456/36296
LCM = 911610336
Thus, we can understand that the LCM of 416,349,644,507,698 is 911610336.
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FAQs on LCM of 416, 349, 644, 507, 698
1. What is the LCM of 416, 349, 644, 507, 698?
Answer: LCM of 416, 349, 644, 507, 698 is 911610336.
2. How to calculate the LCM of 416, 349, 644, 507, 698?
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, 349, 644, 507, 698.
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}.