LCM of 654, 256, 408, 171, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 256, 408, 171, 962 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 654, 256, 408, 171, 962. So, keep reading to learn more.
Given numbers are 654,256,408,171,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,256,408,171,962 is 39017242368.
Find LCM of 654,256,408,171,962 with Prime Factorization
| 2 | 654, 256, 408, 171, 962 |
| 2 | 327, 128, 204, 171, 481 |
| 2 | 327, 64, 102, 171, 481 |
| 3 | 327, 32, 51, 171, 481 |
| 109, 32, 17, 57, 481 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 109 x 32 x 17 x 57 x 481 = 39017242368
Therefore, the lowest common multiple of 654,256,408,171,962 is 39017242368.
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.
654 x 256 x 408 x 171 x 962 = 11236965801984
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
171 : 1, 3, 9, 19, 57, 171
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,256,408,171,962, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
256:2x 2x 2x 2x 2x 2x 2x 2
408:2x 2x 2x 3x 17
171:3x 3x 19
962:2x 13x 37
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 11236965801984/(1x288)
LCM = 11236965801984/288
LCM = 39017242368
Thus, we can understand that the LCM of 654,256,408,171,962 is 39017242368.
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FAQs on LCM of 654, 256, 408, 171, 962
1. What is the LCM of 654, 256, 408, 171, 962?
Answer: LCM of 654, 256, 408, 171, 962 is 39017242368.
2. How to calculate the LCM of 654, 256, 408, 171, 962?
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 654, 256, 408, 171, 962.
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}.