LCM of 512, 665, 208, 533, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 512, 665, 208, 533, 646 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 512, 665, 208, 533, 646. So, keep reading to learn more.
Given numbers are 512,665,208,533,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,665,208,533,646 is 3085089280.
Find LCM of 512,665,208,533,646 with Prime Factorization
| 2 | 512, 665, 208, 533, 646 |
| 2 | 256, 665, 104, 533, 323 |
| 2 | 128, 665, 52, 533, 323 |
| 2 | 64, 665, 26, 533, 323 |
| 13 | 32, 665, 13, 533, 323 |
| 19 | 32, 665, 1, 41, 323 |
| 32, 35, 1, 41, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 19 x 32 x 35 x 1 x 41 x 17 = 3085089280
Therefore, the lowest common multiple of 512,665,208,533,646 is 3085089280.
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.
512 x 665 x 208 x 533 x 646 = 24384545669120
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.
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
665 : 1, 5, 7, 19, 35, 95, 133, 665
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
533 : 1, 13, 41, 533
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,665,208,533,646, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
665:5x 7x 19
208:2x 2x 2x 2x 13
533:13x 41
646:2x 17x 19
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 13x 19 = 7904
Therefore, the value for common factors is 7904.
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 = 24384545669120/(1x7904)
LCM = 24384545669120/7904
LCM = 3085089280
Thus, we can understand that the LCM of 512,665,208,533,646 is 3085089280.
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FAQs on LCM of 512, 665, 208, 533, 646
1. What is the LCM of 512, 665, 208, 533, 646?
Answer: LCM of 512, 665, 208, 533, 646 is 3085089280.
2. How to calculate the LCM of 512, 665, 208, 533, 646?
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 512, 665, 208, 533, 646.
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}.