LCM of 416, 588, 622, 649, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 588, 622, 649, 682 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, 588, 622, 649, 682. So, keep reading to learn more.
Given numbers are 416,588,622,649,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,588,622,649,682 is 382628614368.
Find LCM of 416,588,622,649,682 with Prime Factorization
| 2 | 416, 588, 622, 649, 682 |
| 2 | 208, 294, 311, 649, 341 |
| 11 | 104, 147, 311, 649, 341 |
| 104, 147, 311, 59, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 104 x 147 x 311 x 59 x 31 = 382628614368
Therefore, the lowest common multiple of 416,588,622,649,682 is 382628614368.
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 588 x 622 x 649 x 682 = 67342636128768
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
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
622 : 1, 2, 311, 622
649 : 1, 11, 59, 649
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,588,622,649,682, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
588:2x 2x 3x 7x 7
622:2x 311
649:11x 59
682:2x 11x 31
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 11 = 176
Therefore, the value for common factors is 176.
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 = 67342636128768/(1x176)
LCM = 67342636128768/176
LCM = 382628614368
Thus, we can understand that the LCM of 416,588,622,649,682 is 382628614368.
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FAQs on LCM of 416, 588, 622, 649, 682
1. What is the LCM of 416, 588, 622, 649, 682?
Answer: LCM of 416, 588, 622, 649, 682 is 382628614368.
2. How to calculate the LCM of 416, 588, 622, 649, 682?
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, 588, 622, 649, 682.
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}.