LCM of 784, 935, 736, 380, 340
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 935, 736, 380, 340 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 784, 935, 736, 380, 340. So, keep reading to learn more.
Given numbers are 784,935,736,380,340
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,935,736,380,340 is 640676960.
Find LCM of 784,935,736,380,340 with Prime Factorization
| 2 | 784, 935, 736, 380, 340 |
| 2 | 392, 935, 368, 190, 170 |
| 2 | 196, 935, 184, 95, 85 |
| 2 | 98, 935, 92, 95, 85 |
| 5 | 49, 935, 46, 95, 85 |
| 17 | 49, 187, 46, 19, 17 |
| 49, 11, 46, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 17 x 49 x 11 x 46 x 19 x 1 = 640676960
Therefore, the lowest common multiple of 784,935,736,380,340 is 640676960.
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.
784 x 935 x 736 x 380 x 340 = 69705653248000
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
935 : 1, 5, 11, 17, 55, 85, 187, 935
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,935,736,380,340, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
935:5x 11x 17
736:2x 2x 2x 2x 2x 23
380:2x 2x 5x 19
340:2x 2x 5x 17
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 2x 5x 5x 17 = 108800
Therefore, the value for common factors is 108800.
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 = 69705653248000/(1x108800)
LCM = 69705653248000/108800
LCM = 640676960
Thus, we can understand that the LCM of 784,935,736,380,340 is 640676960.
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FAQs on LCM of 784, 935, 736, 380, 340
1. What is the LCM of 784, 935, 736, 380, 340?
Answer: LCM of 784, 935, 736, 380, 340 is 640676960.
2. How to calculate the LCM of 784, 935, 736, 380, 340?
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 784, 935, 736, 380, 340.
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}.