LCM of 556, 784, 854, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 784, 854, 686 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 556, 784, 854, 686. So, keep reading to learn more.
Given numbers are 556,784,854,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,784,854,686 is 46532752.
Find LCM of 556,784,854,686 with Prime Factorization
| 2 | 556, 784, 854, 686 |
| 2 | 278, 392, 427, 343 |
| 7 | 139, 196, 427, 343 |
| 7 | 139, 28, 61, 49 |
| 139, 4, 61, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 7 x 139 x 4 x 61 x 7 = 46532752
Therefore, the lowest common multiple of 556,784,854,686 is 46532752.
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.
556 x 784 x 854 x 686 = 255371742976
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.
556 : 1, 2, 4, 139, 278, 556
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
854 : 1, 2, 7, 14, 61, 122, 427, 854
686 : 1, 2, 7, 14, 49, 98, 343, 686
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,784,854,686, is 2.
Now, the common factors can be found like this.
556:2x 2x 139
784:2x 2x 2x 2x 7x 7
854:2x 7x 61
686:2x 7x 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 7x 7x 7 = 2744
Therefore, the value for common factors is 2744.
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 = 255371742976/(2x2744)
LCM = 255371742976/5488
LCM = 46532752
Thus, we can understand that the LCM of 556,784,854,686 is 46532752.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 556, 784, 854, 686
1. What is the LCM of 556, 784, 854, 686?
Answer: LCM of 556, 784, 854, 686 is 46532752.
2. How to calculate the LCM of 556, 784, 854, 686?
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 556, 784, 854, 686.
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}.