LCM of 784, 192, 286, 417, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 192, 286, 417, 314 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, 192, 286, 417, 314. So, keep reading to learn more.
Given numbers are 784,192,286,417,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,192,286,417,314 is 29359442112.
Find LCM of 784,192,286,417,314 with Prime Factorization
| 2 | 784, 192, 286, 417, 314 |
| 2 | 392, 96, 143, 417, 157 |
| 2 | 196, 48, 143, 417, 157 |
| 2 | 98, 24, 143, 417, 157 |
| 3 | 49, 12, 143, 417, 157 |
| 49, 4, 143, 139, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 49 x 4 x 143 x 139 x 157 = 29359442112
Therefore, the lowest common multiple of 784,192,286,417,314 is 29359442112.
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 192 x 286 x 417 x 314 = 5637012885504
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
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
286 : 1, 2, 11, 13, 22, 26, 143, 286
417 : 1, 3, 139, 417
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,192,286,417,314, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
192:2x 2x 2x 2x 2x 2x 3
286:2x 11x 13
417:3x 139
314:2x 157
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 3 = 192
Therefore, the value for common factors is 192.
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 = 5637012885504/(1x192)
LCM = 5637012885504/192
LCM = 29359442112
Thus, we can understand that the LCM of 784,192,286,417,314 is 29359442112.
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FAQs on LCM of 784, 192, 286, 417, 314
1. What is the LCM of 784, 192, 286, 417, 314?
Answer: LCM of 784, 192, 286, 417, 314 is 29359442112.
2. How to calculate the LCM of 784, 192, 286, 417, 314?
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, 192, 286, 417, 314.
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}.