LCM of 640, 155, 441, 644, 217
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 640, 155, 441, 644, 217 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 640, 155, 441, 644, 217. So, keep reading to learn more.
Given numbers are 640,155,441,644,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 640,155,441,644,217 is 201237120.
Find LCM of 640,155,441,644,217 with Prime Factorization
| 2 | 640, 155, 441, 644, 217 |
| 2 | 320, 155, 441, 322, 217 |
| 5 | 160, 155, 441, 161, 217 |
| 7 | 32, 31, 441, 161, 217 |
| 31 | 32, 31, 63, 23, 31 |
| 32, 1, 63, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 31 x 32 x 1 x 63 x 23 x 1 = 201237120
Therefore, the lowest common multiple of 640,155,441,644,217 is 201237120.
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.
640 x 155 x 441 x 644 x 217 = 6113583705600
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.
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
155 : 1, 5, 31, 155
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 640,155,441,644,217, is 1.
Now, the common factors can be found like this.
640:2x 2x 2x 2x 2x 2x 2x 5
155:5x 31
441:3x 3x 7x 7
644:2x 2x 7x 23
217:7x 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 5x 7x 7x 31 = 30380
Therefore, the value for common factors is 30380.
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 = 6113583705600/(1x30380)
LCM = 6113583705600/30380
LCM = 201237120
Thus, we can understand that the LCM of 640,155,441,644,217 is 201237120.
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FAQs on LCM of 640, 155, 441, 644, 217
1. What is the LCM of 640, 155, 441, 644, 217?
Answer: LCM of 640, 155, 441, 644, 217 is 201237120.
2. How to calculate the LCM of 640, 155, 441, 644, 217?
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 640, 155, 441, 644, 217.
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}.