LCM of 659, 233, 147, 821, 217
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 659, 233, 147, 821, 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, 233, 147, 821, 217. So, keep reading to learn more.
Given numbers are 659,233,147,821,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,233,147,821,217 is 574464930459.
Find LCM of 659,233,147,821,217 with Prime Factorization
| 7 | 659, 233, 147, 821, 217 |
| 659, 233, 21, 821, 31 |
Multiply the prime numbers at the bottom and the left side.
7 x 659 x 233 x 21 x 821 x 31 = 574464930459
Therefore, the lowest common multiple of 659,233,147,821,217 is 574464930459.
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 233 x 147 x 821 x 217 = 4021254513213
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
233 : 1, 233
147 : 1, 3, 7, 21, 49, 147
821 : 1, 821
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,233,147,821,217, is 1.
Now, the common factors can be found like this.
659:659
233:233
147:3x 7x 7
821:821
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.
7 = 7
Therefore, the value for common factors is 7.
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 = 4021254513213/(1x7)
LCM = 4021254513213/7
LCM = 574464930459
Thus, we can understand that the LCM of 659,233,147,821,217 is 574464930459.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 659, 233, 147, 821, 217
1. What is the LCM of 659, 233, 147, 821, 217?
Answer: LCM of 659, 233, 147, 821, 217 is 574464930459.
2. How to calculate the LCM of 659, 233, 147, 821, 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, 233, 147, 821, 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}.