LCM of 544, 217, 817, 336, 722
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 544, 217, 817, 336, 722 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 544, 217, 817, 336, 722. So, keep reading to learn more.
Given numbers are 544,217,817,336,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 544,217,817,336,722 is 5497377312.
Find LCM of 544,217,817,336,722 with Prime Factorization
| 2 | 544, 217, 817, 336, 722 |
| 2 | 272, 217, 817, 168, 361 |
| 2 | 136, 217, 817, 84, 361 |
| 2 | 68, 217, 817, 42, 361 |
| 7 | 34, 217, 817, 21, 361 |
| 19 | 34, 31, 817, 3, 361 |
| 34, 31, 43, 3, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 19 x 34 x 31 x 43 x 3 x 19 = 5497377312
Therefore, the lowest common multiple of 544,217,817,336,722 is 5497377312.
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.
544 x 217 x 817 x 336 x 722 = 23396837839872
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.
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
217 : 1, 7, 31, 217
817 : 1, 19, 43, 817
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,217,817,336,722, is 1.
Now, the common factors can be found like this.
544:2x 2x 2x 2x 2x 17
217:7x 31
817:19x 43
336:2x 2x 2x 2x 3x 7
722:2x 19x 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 7x 19 = 4256
Therefore, the value for common factors is 4256.
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 = 23396837839872/(1x4256)
LCM = 23396837839872/4256
LCM = 5497377312
Thus, we can understand that the LCM of 544,217,817,336,722 is 5497377312.
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FAQs on LCM of 544, 217, 817, 336, 722
1. What is the LCM of 544, 217, 817, 336, 722?
Answer: LCM of 544, 217, 817, 336, 722 is 5497377312.
2. How to calculate the LCM of 544, 217, 817, 336, 722?
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 544, 217, 817, 336, 722.
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}.