LCM of 119, 817, 646, 408, 519
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 119, 817, 646, 408, 519 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 119, 817, 646, 408, 519. So, keep reading to learn more.
Given numbers are 119,817,646,408,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 119,817,646,408,519 is 403669896.
Find LCM of 119,817,646,408,519 with Prime Factorization
| 2 | 119, 817, 646, 408, 519 |
| 3 | 119, 817, 323, 204, 519 |
| 17 | 119, 817, 323, 68, 173 |
| 19 | 7, 817, 19, 4, 173 |
| 7, 43, 1, 4, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 7 x 43 x 1 x 4 x 173 = 403669896
Therefore, the lowest common multiple of 119,817,646,408,519 is 403669896.
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.
119 x 817 x 646 x 408 x 519 = 13299308393616
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.
119 : 1, 7, 17, 119
817 : 1, 19, 43, 817
646 : 1, 2, 17, 19, 34, 38, 323, 646
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,817,646,408,519, is 1.
Now, the common factors can be found like this.
119:7x 17
817:19x 43
646:2x 17x 19
408:2x 2x 2x 3x 17
519:3x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17x 17x 19 = 32946
Therefore, the value for common factors is 32946.
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 = 13299308393616/(1x32946)
LCM = 13299308393616/32946
LCM = 403669896
Thus, we can understand that the LCM of 119,817,646,408,519 is 403669896.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 119, 817, 646, 408, 519
1. What is the LCM of 119, 817, 646, 408, 519?
Answer: LCM of 119, 817, 646, 408, 519 is 403669896.
2. How to calculate the LCM of 119, 817, 646, 408, 519?
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 119, 817, 646, 408, 519.
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}.