LCM of 416, 681, 484, 407, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 681, 484, 407, 450 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, 681, 484, 407, 450. So, keep reading to learn more.
Given numbers are 416,681,484,407,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,681,484,407,450 is 95123714400.
Find LCM of 416,681,484,407,450 with Prime Factorization
| 2 | 416, 681, 484, 407, 450 |
| 2 | 208, 681, 242, 407, 225 |
| 3 | 104, 681, 121, 407, 225 |
| 11 | 104, 227, 121, 407, 75 |
| 104, 227, 11, 37, 75 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 104 x 227 x 11 x 37 x 75 = 95123714400
Therefore, the lowest common multiple of 416,681,484,407,450 is 95123714400.
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 681 x 484 x 407 x 450 = 25112660601600
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
681 : 1, 3, 227, 681
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
407 : 1, 11, 37, 407
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,681,484,407,450, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
681:3x 227
484:2x 2x 11x 11
407:11x 37
450:2x 3x 3x 5x 5
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 25112660601600/(1x264)
LCM = 25112660601600/264
LCM = 95123714400
Thus, we can understand that the LCM of 416,681,484,407,450 is 95123714400.
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FAQs on LCM of 416, 681, 484, 407, 450
1. What is the LCM of 416, 681, 484, 407, 450?
Answer: LCM of 416, 681, 484, 407, 450 is 95123714400.
2. How to calculate the LCM of 416, 681, 484, 407, 450?
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, 681, 484, 407, 450.
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}.