LCM of 659, 808, 345, 722, 505
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 659, 808, 345, 722, 505 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 659, 808, 345, 722, 505. So, keep reading to learn more.
Given numbers are 659,808,345,722,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,808,345,722,505 is 66316725240.
Find LCM of 659,808,345,722,505 with Prime Factorization
| 2 | 659, 808, 345, 722, 505 |
| 5 | 659, 404, 345, 361, 505 |
| 101 | 659, 404, 69, 361, 101 |
| 659, 4, 69, 361, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 101 x 659 x 4 x 69 x 361 x 1 = 66316725240
Therefore, the lowest common multiple of 659,808,345,722,505 is 66316725240.
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.
659 x 808 x 345 x 722 x 505 = 66979892492400
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.
659 : 1, 659
808 : 1, 2, 4, 8, 101, 202, 404, 808
345 : 1, 3, 5, 15, 23, 69, 115, 345
722 : 1, 2, 19, 38, 361, 722
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,808,345,722,505, is 1.
Now, the common factors can be found like this.
659:659
808:2x 2x 2x 101
345:3x 5x 23
722:2x 19x 19
505:5x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 101 = 1010
Therefore, the value for common factors is 1010.
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 = 66979892492400/(1x1010)
LCM = 66979892492400/1010
LCM = 66316725240
Thus, we can understand that the LCM of 659,808,345,722,505 is 66316725240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 659, 808, 345, 722, 505
1. What is the LCM of 659, 808, 345, 722, 505?
Answer: LCM of 659, 808, 345, 722, 505 is 66316725240.
2. How to calculate the LCM of 659, 808, 345, 722, 505?
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 659, 808, 345, 722, 505.
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}.