LCM of 128, 575, 644, 411, 639
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 128, 575, 644, 411, 639 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 128, 575, 644, 411, 639. So, keep reading to learn more.
Given numbers are 128,575,644,411,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 128,575,644,411,639 is 45102153600.
Find LCM of 128,575,644,411,639 with Prime Factorization
| 2 | 128, 575, 644, 411, 639 |
| 2 | 64, 575, 322, 411, 639 |
| 3 | 32, 575, 161, 411, 639 |
| 23 | 32, 575, 161, 137, 213 |
| 32, 25, 7, 137, 213 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 32 x 25 x 7 x 137 x 213 = 45102153600
Therefore, the lowest common multiple of 128,575,644,411,639 is 45102153600.
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.
128 x 575 x 644 x 411 x 639 = 12448194393600
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.
128 : 1, 2, 4, 8, 16, 32, 64, 128
575 : 1, 5, 23, 25, 115, 575
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
411 : 1, 3, 137, 411
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,575,644,411,639, is 1.
Now, the common factors can be found like this.
128:2x 2x 2x 2x 2x 2x 2
575:5x 5x 23
644:2x 2x 7x 23
411:3x 137
639:3x 3x 71
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 3x 23 = 276
Therefore, the value for common factors is 276.
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 = 12448194393600/(1x276)
LCM = 12448194393600/276
LCM = 45102153600
Thus, we can understand that the LCM of 128,575,644,411,639 is 45102153600.
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FAQs on LCM of 128, 575, 644, 411, 639
1. What is the LCM of 128, 575, 644, 411, 639?
Answer: LCM of 128, 575, 644, 411, 639 is 45102153600.
2. How to calculate the LCM of 128, 575, 644, 411, 639?
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 128, 575, 644, 411, 639.
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}.