LCM of 323, 784, 540, 616, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 323, 784, 540, 616, 380 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 323, 784, 540, 616, 380. So, keep reading to learn more.
Given numbers are 323,784,540,616,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,784,540,616,380 is 376049520.
Find LCM of 323,784,540,616,380 with Prime Factorization
| 2 | 323, 784, 540, 616, 380 |
| 2 | 323, 392, 270, 308, 190 |
| 2 | 323, 196, 135, 154, 95 |
| 5 | 323, 98, 135, 77, 95 |
| 7 | 323, 98, 27, 77, 19 |
| 19 | 323, 14, 27, 11, 19 |
| 17, 14, 27, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 19 x 17 x 14 x 27 x 11 x 1 = 376049520
Therefore, the lowest common multiple of 323,784,540,616,380 is 376049520.
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.
323 x 784 x 540 x 616 x 380 = 32009335142400
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.
323 : 1, 17, 19, 323
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,784,540,616,380, is 1.
Now, the common factors can be found like this.
323:17x 19
784:2x 2x 2x 2x 7x 7
540:2x 2x 3x 3x 3x 5
616:2x 2x 2x 7x 11
380:2x 2x 5x 19
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 2x 2x 2x 5x 7x 19 = 85120
Therefore, the value for common factors is 85120.
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 = 32009335142400/(1x85120)
LCM = 32009335142400/85120
LCM = 376049520
Thus, we can understand that the LCM of 323,784,540,616,380 is 376049520.
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FAQs on LCM of 323, 784, 540, 616, 380
1. What is the LCM of 323, 784, 540, 616, 380?
Answer: LCM of 323, 784, 540, 616, 380 is 376049520.
2. How to calculate the LCM of 323, 784, 540, 616, 380?
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 323, 784, 540, 616, 380.
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}.