LCM of 784, 788, 656, 206, 515
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 788, 656, 206, 515 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, 788, 656, 206, 515. So, keep reading to learn more.
Given numbers are 784,788,656,206,515
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,788,656,206,515 is 3261169520.
Find LCM of 784,788,656,206,515 with Prime Factorization
| 2 | 784, 788, 656, 206, 515 |
| 2 | 392, 394, 328, 103, 515 |
| 2 | 196, 197, 164, 103, 515 |
| 2 | 98, 197, 82, 103, 515 |
| 103 | 49, 197, 41, 103, 515 |
| 49, 197, 41, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 103 x 49 x 197 x 41 x 1 x 5 = 3261169520
Therefore, the lowest common multiple of 784,788,656,206,515 is 3261169520.
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 788 x 656 x 206 x 515 = 42995258951680
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
788 : 1, 2, 4, 197, 394, 788
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
206 : 1, 2, 103, 206
515 : 1, 5, 103, 515
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,788,656,206,515, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
788:2x 2x 197
656:2x 2x 2x 2x 41
206:2x 103
515:5x 103
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 103 = 13184
Therefore, the value for common factors is 13184.
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 = 42995258951680/(1x13184)
LCM = 42995258951680/13184
LCM = 3261169520
Thus, we can understand that the LCM of 784,788,656,206,515 is 3261169520.
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FAQs on LCM of 784, 788, 656, 206, 515
1. What is the LCM of 784, 788, 656, 206, 515?
Answer: LCM of 784, 788, 656, 206, 515 is 3261169520.
2. How to calculate the LCM of 784, 788, 656, 206, 515?
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, 788, 656, 206, 515.
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}.