LCM of 556, 329, 940, 806
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 329, 940, 806 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, 329, 940, 806. So, keep reading to learn more.
Given numbers are 556,329,940,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,329,940,806 is 368591860.
Find LCM of 556,329,940,806 with Prime Factorization
| 2 | 556, 329, 940, 806 |
| 2 | 278, 329, 470, 403 |
| 47 | 139, 329, 235, 403 |
| 139, 7, 5, 403 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 47 x 139 x 7 x 5 x 403 = 368591860
Therefore, the lowest common multiple of 556,329,940,806 is 368591860.
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 329 x 940 x 806 = 138590539360
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
329 : 1, 7, 47, 329
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
806 : 1, 2, 13, 26, 31, 62, 403, 806
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,329,940,806, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
329:7x 47
940:2x 2x 5x 47
806:2x 13x 31
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 47 = 376
Therefore, the value for common factors is 376.
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 = 138590539360/(1x376)
LCM = 138590539360/376
LCM = 368591860
Thus, we can understand that the LCM of 556,329,940,806 is 368591860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 556, 329, 940, 806
1. What is the LCM of 556, 329, 940, 806?
Answer: LCM of 556, 329, 940, 806 is 368591860.
2. How to calculate the LCM of 556, 329, 940, 806?
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, 329, 940, 806.
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}.