LCM of 173, 584, 642, 819, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 173, 584, 642, 819, 416 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 173, 584, 642, 819, 416. So, keep reading to learn more.
Given numbers are 173,584,642,819,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 173,584,642,819,416 is 35414949024.
Find LCM of 173,584,642,819,416 with Prime Factorization
| 2 | 173, 584, 642, 819, 416 |
| 2 | 173, 292, 321, 819, 208 |
| 2 | 173, 146, 321, 819, 104 |
| 3 | 173, 73, 321, 819, 52 |
| 13 | 173, 73, 107, 273, 52 |
| 173, 73, 107, 21, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 173 x 73 x 107 x 21 x 4 = 35414949024
Therefore, the lowest common multiple of 173,584,642,819,416 is 35414949024.
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.
173 x 584 x 642 x 819 x 416 = 22098928190976
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.
173 : 1, 173
584 : 1, 2, 4, 8, 73, 146, 292, 584
642 : 1, 2, 3, 6, 107, 214, 321, 642
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,584,642,819,416, is 1.
Now, the common factors can be found like this.
173:173
584:2x 2x 2x 73
642:2x 3x 107
819:3x 3x 7x 13
416:2x 2x 2x 2x 2x 13
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 3x 13 = 624
Therefore, the value for common factors is 624.
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 = 22098928190976/(1x624)
LCM = 22098928190976/624
LCM = 35414949024
Thus, we can understand that the LCM of 173,584,642,819,416 is 35414949024.
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FAQs on LCM of 173, 584, 642, 819, 416
1. What is the LCM of 173, 584, 642, 819, 416?
Answer: LCM of 173, 584, 642, 819, 416 is 35414949024.
2. How to calculate the LCM of 173, 584, 642, 819, 416?
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 173, 584, 642, 819, 416.
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}.