LCM of 670, 563, 260, 208, 818
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 670, 563, 260, 208, 818 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 670, 563, 260, 208, 818. So, keep reading to learn more.
Given numbers are 670,563,260,208,818
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 670,563,260,208,818 is 16045004560.
Find LCM of 670,563,260,208,818 with Prime Factorization
| 2 | 670, 563, 260, 208, 818 |
| 2 | 335, 563, 130, 104, 409 |
| 5 | 335, 563, 65, 52, 409 |
| 13 | 67, 563, 13, 52, 409 |
| 67, 563, 1, 4, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 67 x 563 x 1 x 4 x 409 = 16045004560
Therefore, the lowest common multiple of 670,563,260,208,818 is 16045004560.
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.
670 x 563 x 260 x 208 x 818 = 16686804742400
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.
670 : 1, 2, 5, 10, 67, 134, 335, 670
563 : 1, 563
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
818 : 1, 2, 409, 818
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,563,260,208,818, is 1.
Now, the common factors can be found like this.
670:2x 5x 67
563:563
260:2x 2x 5x 13
208:2x 2x 2x 2x 13
818:2x 409
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 5x 13 = 1040
Therefore, the value for common factors is 1040.
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 = 16686804742400/(1x1040)
LCM = 16686804742400/1040
LCM = 16045004560
Thus, we can understand that the LCM of 670,563,260,208,818 is 16045004560.
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FAQs on LCM of 670, 563, 260, 208, 818
1. What is the LCM of 670, 563, 260, 208, 818?
Answer: LCM of 670, 563, 260, 208, 818 is 16045004560.
2. How to calculate the LCM of 670, 563, 260, 208, 818?
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 670, 563, 260, 208, 818.
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}.