LCM of 659, 648, 420, 217
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 659, 648, 420, 217 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, 648, 420, 217. So, keep reading to learn more.
Given numbers are 659,648,420,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,648,420,217 is 463329720.
Find LCM of 659,648,420,217 with Prime Factorization
| 2 | 659, 648, 420, 217 |
| 2 | 659, 324, 210, 217 |
| 3 | 659, 162, 105, 217 |
| 7 | 659, 54, 35, 217 |
| 659, 54, 5, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 659 x 54 x 5 x 31 = 463329720
Therefore, the lowest common multiple of 659,648,420,217 is 463329720.
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 648 x 420 x 217 = 38919696480
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
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,648,420,217, is 1.
Now, the common factors can be found like this.
659:659
648:2x 2x 2x 3x 3x 3x 3
420:2x 2x 3x 5x 7
217:7x 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 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 38919696480/(1x84)
LCM = 38919696480/84
LCM = 463329720
Thus, we can understand that the LCM of 659,648,420,217 is 463329720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 659, 648, 420, 217
1. What is the LCM of 659, 648, 420, 217?
Answer: LCM of 659, 648, 420, 217 is 463329720.
2. How to calculate the LCM of 659, 648, 420, 217?
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, 648, 420, 217.
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}.