LCM of 384, 338, 950, 589, 615
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 384, 338, 950, 589, 615 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 384, 338, 950, 589, 615. So, keep reading to learn more.
Given numbers are 384,338,950,589,615
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 384,338,950,589,615 is 39179337600.
Find LCM of 384,338,950,589,615 with Prime Factorization
| 2 | 384, 338, 950, 589, 615 |
| 3 | 192, 169, 475, 589, 615 |
| 5 | 64, 169, 475, 589, 205 |
| 19 | 64, 169, 95, 589, 41 |
| 64, 169, 5, 31, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 64 x 169 x 5 x 31 x 41 = 39179337600
Therefore, the lowest common multiple of 384,338,950,589,615 is 39179337600.
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.
384 x 338 x 950 x 589 x 615 = 44664444864000
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.
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
338 : 1, 2, 13, 26, 169, 338
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
589 : 1, 19, 31, 589
615 : 1, 3, 5, 15, 41, 123, 205, 615
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 384,338,950,589,615, is 1.
Now, the common factors can be found like this.
384:2x 2x 2x 2x 2x 2x 2x 3
338:2x 13x 13
950:2x 5x 5x 19
589:19x 31
615:3x 5x 41
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 3x 5x 19 = 1140
Therefore, the value for common factors is 1140.
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 = 44664444864000/(1x1140)
LCM = 44664444864000/1140
LCM = 39179337600
Thus, we can understand that the LCM of 384,338,950,589,615 is 39179337600.
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FAQs on LCM of 384, 338, 950, 589, 615
1. What is the LCM of 384, 338, 950, 589, 615?
Answer: LCM of 384, 338, 950, 589, 615 is 39179337600.
2. How to calculate the LCM of 384, 338, 950, 589, 615?
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 384, 338, 950, 589, 615.
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}.