Find the LCM of 383, 713, 336, 639, 384 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 383, 713, 336, 639, 384. So, keep reading to learn more.
Given numbers are 383,713,336,639,384
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 383,713,336,639,384 is 156349742976.
Find LCM of 383,713,336,639,384 with Prime Factorization
2 | 383, 713, 336, 639, 384 |
2 | 383, 713, 168, 639, 192 |
2 | 383, 713, 84, 639, 96 |
2 | 383, 713, 42, 639, 48 |
3 | 383, 713, 21, 639, 24 |
383, 713, 7, 213, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 383 x 713 x 7 x 213 x 8 = 156349742976
Therefore, the lowest common multiple of 383,713,336,639,384 is 156349742976.
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.
383 x 713 x 336 x 639 x 384 = 22514362988544
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.
383 : 1, 383
713 : 1, 23, 31, 713
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
639 : 1, 3, 9, 71, 213, 639
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,713,336,639,384, is 1.
Now, the common factors can be found like this.
383:383
713:23x 31
336:2x 2x 2x 2x 3x 7
639:3x 3x 71
384:2x 2x 2x 2x 2x 2x 2x 3
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 3 = 144
Therefore, the value for common factors is 144.
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 = 22514362988544/(1x144)
LCM = 22514362988544/144
LCM = 156349742976
Thus, we can understand that the LCM of 383,713,336,639,384 is 156349742976.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 383, 713, 336, 639, 384?
Answer: LCM of 383, 713, 336, 639, 384 is 156349742976.
2. How to calculate the LCM of 383, 713, 336, 639, 384?
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 383, 713, 336, 639, 384.
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}.