LCM of 771, 544, 604, 208, 808
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 771, 544, 604, 208, 808 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 771, 544, 604, 208, 808. So, keep reading to learn more.
Given numbers are 771,544,604,208,808
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,544,604,208,808 is 83156260512.
Find LCM of 771,544,604,208,808 with Prime Factorization
| 2 | 771, 544, 604, 208, 808 |
| 2 | 771, 272, 302, 104, 404 |
| 2 | 771, 136, 151, 52, 202 |
| 2 | 771, 68, 151, 26, 101 |
| 771, 34, 151, 13, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 771 x 34 x 151 x 13 x 101 = 83156260512
Therefore, the lowest common multiple of 771,544,604,208,808 is 83156260512.
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.
771 x 544 x 604 x 208 x 808 = 42576005382144
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.
771 : 1, 3, 257, 771
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
604 : 1, 2, 4, 151, 302, 604
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
808 : 1, 2, 4, 8, 101, 202, 404, 808
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,544,604,208,808, is 1.
Now, the common factors can be found like this.
771:3x 257
544:2x 2x 2x 2x 2x 17
604:2x 2x 151
208:2x 2x 2x 2x 13
808:2x 2x 2x 101
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 2x 2x 2x 2 = 512
Therefore, the value for common factors is 512.
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 = 42576005382144/(1x512)
LCM = 42576005382144/512
LCM = 83156260512
Thus, we can understand that the LCM of 771,544,604,208,808 is 83156260512.
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FAQs on LCM of 771, 544, 604, 208, 808
1. What is the LCM of 771, 544, 604, 208, 808?
Answer: LCM of 771, 544, 604, 208, 808 is 83156260512.
2. How to calculate the LCM of 771, 544, 604, 208, 808?
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 771, 544, 604, 208, 808.
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}.