LCM of 784, 174, 696, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 174, 696, 678 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, 174, 696, 678. So, keep reading to learn more.
Given numbers are 784,174,696,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,174,696,678 is 7707504.
Find LCM of 784,174,696,678 with Prime Factorization
| 2 | 784, 174, 696, 678 |
| 2 | 392, 87, 348, 339 |
| 2 | 196, 87, 174, 339 |
| 3 | 98, 87, 87, 339 |
| 29 | 98, 29, 29, 113 |
| 98, 1, 1, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 98 x 1 x 1 x 113 = 7707504
Therefore, the lowest common multiple of 784,174,696,678 is 7707504.
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 174 x 696 x 678 = 64373073408
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
174 : 1, 2, 3, 6, 29, 58, 87, 174
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
678 : 1, 2, 3, 6, 113, 226, 339, 678
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,174,696,678, is 2.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
174:2x 3x 29
696:2x 2x 2x 3x 29
678:2x 3x 113
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 3x 3x 29 = 4176
Therefore, the value for common factors is 4176.
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 = 64373073408/(2x4176)
LCM = 64373073408/8352
LCM = 7707504
Thus, we can understand that the LCM of 784,174,696,678 is 7707504.
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FAQs on LCM of 784, 174, 696, 678
1. What is the LCM of 784, 174, 696, 678?
Answer: LCM of 784, 174, 696, 678 is 7707504.
2. How to calculate the LCM of 784, 174, 696, 678?
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, 174, 696, 678.
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}.