LCM of 788, 217, 808, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 788, 217, 808, 784 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 788, 217, 808, 784. So, keep reading to learn more.
Given numbers are 788,217,808,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 788,217,808,784 is 483576688.
Find LCM of 788,217,808,784 with Prime Factorization
| 2 | 788, 217, 808, 784 |
| 2 | 394, 217, 404, 392 |
| 2 | 197, 217, 202, 196 |
| 7 | 197, 217, 101, 98 |
| 197, 31, 101, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 197 x 31 x 101 x 14 = 483576688
Therefore, the lowest common multiple of 788,217,808,784 is 483576688.
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.
788 x 217 x 808 x 784 = 108321178112
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.
788 : 1, 2, 4, 197, 394, 788
217 : 1, 7, 31, 217
808 : 1, 2, 4, 8, 101, 202, 404, 808
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,217,808,784, is 1.
Now, the common factors can be found like this.
788:2x 2x 197
217:7x 31
808:2x 2x 2x 101
784:2x 2x 2x 2x 7x 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 2x 2x 7 = 224
Therefore, the value for common factors is 224.
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 = 108321178112/(1x224)
LCM = 108321178112/224
LCM = 483576688
Thus, we can understand that the LCM of 788,217,808,784 is 483576688.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 788, 217, 808, 784
1. What is the LCM of 788, 217, 808, 784?
Answer: LCM of 788, 217, 808, 784 is 483576688.
2. How to calculate the LCM of 788, 217, 808, 784?
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 788, 217, 808, 784.
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}.