LCM of 416, 642, 512, 254, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 642, 512, 254, 198 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, 642, 512, 254, 198. So, keep reading to learn more.
Given numbers are 416,642,512,254,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,642,512,254,198 is 8954390016.
Find LCM of 416,642,512,254,198 with Prime Factorization
| 2 | 416, 642, 512, 254, 198 |
| 2 | 208, 321, 256, 127, 99 |
| 2 | 104, 321, 128, 127, 99 |
| 2 | 52, 321, 64, 127, 99 |
| 2 | 26, 321, 32, 127, 99 |
| 3 | 13, 321, 16, 127, 99 |
| 13, 107, 16, 127, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 13 x 107 x 16 x 127 x 33 = 8954390016
Therefore, the lowest common multiple of 416,642,512,254,198 is 8954390016.
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 642 x 512 x 254 x 198 = 6876971532288
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
642 : 1, 2, 3, 6, 107, 214, 321, 642
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
254 : 1, 2, 127, 254
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,642,512,254,198, is 2.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
642:2x 3x 107
512:2x 2x 2x 2x 2x 2x 2x 2x 2
254:2x 127
198:2x 3x 3x 11
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 2x 2x 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 6876971532288/(2x384)
LCM = 6876971532288/768
LCM = 8954390016
Thus, we can understand that the LCM of 416,642,512,254,198 is 8954390016.
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FAQs on LCM of 416, 642, 512, 254, 198
1. What is the LCM of 416, 642, 512, 254, 198?
Answer: LCM of 416, 642, 512, 254, 198 is 8954390016.
2. How to calculate the LCM of 416, 642, 512, 254, 198?
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, 642, 512, 254, 198.
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}.