LCM of 638, 203, 856, 819, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 203, 856, 819, 364 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 638, 203, 856, 819, 364. So, keep reading to learn more.
Given numbers are 638,203,856,819,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,203,856,819,364 is 223639416.
Find LCM of 638,203,856,819,364 with Prime Factorization
| 2 | 638, 203, 856, 819, 364 |
| 2 | 319, 203, 428, 819, 182 |
| 7 | 319, 203, 214, 819, 91 |
| 13 | 319, 29, 214, 117, 13 |
| 29 | 319, 29, 214, 9, 1 |
| 11, 1, 214, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 29 x 11 x 1 x 214 x 9 x 1 = 223639416
Therefore, the lowest common multiple of 638,203,856,819,364 is 223639416.
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.
638 x 203 x 856 x 819 x 364 = 33050327454144
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
203 : 1, 7, 29, 203
856 : 1, 2, 4, 8, 107, 214, 428, 856
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,203,856,819,364, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
203:7x 29
856:2x 2x 2x 107
819:3x 3x 7x 13
364:2x 2x 7x 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 7x 7x 13x 29 = 147784
Therefore, the value for common factors is 147784.
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 = 33050327454144/(1x147784)
LCM = 33050327454144/147784
LCM = 223639416
Thus, we can understand that the LCM of 638,203,856,819,364 is 223639416.
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FAQs on LCM of 638, 203, 856, 819, 364
1. What is the LCM of 638, 203, 856, 819, 364?
Answer: LCM of 638, 203, 856, 819, 364 is 223639416.
2. How to calculate the LCM of 638, 203, 856, 819, 364?
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 638, 203, 856, 819, 364.
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}.