LCM of 380, 874, 784, 567, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 874, 784, 567, 315 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 380, 874, 784, 567, 315. So, keep reading to learn more.
Given numbers are 380,874,784,567,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,874,784,567,315 is 138756240.
Find LCM of 380,874,784,567,315 with Prime Factorization
| 2 | 380, 874, 784, 567, 315 |
| 2 | 190, 437, 392, 567, 315 |
| 3 | 95, 437, 196, 567, 315 |
| 3 | 95, 437, 196, 189, 105 |
| 5 | 95, 437, 196, 63, 35 |
| 7 | 19, 437, 196, 63, 7 |
| 19 | 19, 437, 28, 9, 1 |
| 1, 23, 28, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 19 x 1 x 23 x 28 x 9 x 1 = 138756240
Therefore, the lowest common multiple of 380,874,784,567,315 is 138756240.
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.
380 x 874 x 784 x 567 x 315 = 46505541398400
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
874 : 1, 2, 19, 23, 38, 46, 437, 874
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,874,784,567,315, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
874:2x 19x 23
784:2x 2x 2x 2x 7x 7
567:3x 3x 3x 3x 7
315:3x 3x 5x 7
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 3x 3x 5x 7x 7x 19 = 335160
Therefore, the value for common factors is 335160.
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 = 46505541398400/(1x335160)
LCM = 46505541398400/335160
LCM = 138756240
Thus, we can understand that the LCM of 380,874,784,567,315 is 138756240.
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FAQs on LCM of 380, 874, 784, 567, 315
1. What is the LCM of 380, 874, 784, 567, 315?
Answer: LCM of 380, 874, 784, 567, 315 is 138756240.
2. How to calculate the LCM of 380, 874, 784, 567, 315?
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 380, 874, 784, 567, 315.
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}.