LCM of 505, 660, 722, 209, 422
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 505, 660, 722, 209, 422 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 505, 660, 722, 209, 422. So, keep reading to learn more.
Given numbers are 505,660,722,209,422
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,660,722,209,422 is 5077558860.
Find LCM of 505,660,722,209,422 with Prime Factorization
| 2 | 505, 660, 722, 209, 422 |
| 5 | 505, 330, 361, 209, 211 |
| 11 | 101, 66, 361, 209, 211 |
| 19 | 101, 6, 361, 19, 211 |
| 101, 6, 1, 19, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 19 x 101 x 6 x 1 x 19 x 211 = 5077558860
Therefore, the lowest common multiple of 505,660,722,209,422 is 5077558860.
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.
505 x 660 x 722 x 209 x 422 = 21224196034800
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.
505 : 1, 5, 101, 505
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
722 : 1, 2, 19, 38, 361, 722
209 : 1, 11, 19, 209
422 : 1, 2, 211, 422
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,660,722,209,422, is 1.
Now, the common factors can be found like this.
505:5x 101
660:2x 2x 3x 5x 11
722:2x 19x 19
209:11x 19
422:2x 211
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 5x 11x 19 = 4180
Therefore, the value for common factors is 4180.
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 = 21224196034800/(1x4180)
LCM = 21224196034800/4180
LCM = 5077558860
Thus, we can understand that the LCM of 505,660,722,209,422 is 5077558860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 505, 660, 722, 209, 422
1. What is the LCM of 505, 660, 722, 209, 422?
Answer: LCM of 505, 660, 722, 209, 422 is 5077558860.
2. How to calculate the LCM of 505, 660, 722, 209, 422?
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 505, 660, 722, 209, 422.
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}.