LCM of 446, 289, 501, 180, 830
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 446, 289, 501, 180, 830 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 446, 289, 501, 180, 830. So, keep reading to learn more.
Given numbers are 446,289,501,180,830
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 446,289,501,180,830 is 160793976060.
Find LCM of 446,289,501,180,830 with Prime Factorization
| 2 | 446, 289, 501, 180, 830 |
| 3 | 223, 289, 501, 90, 415 |
| 5 | 223, 289, 167, 30, 415 |
| 223, 289, 167, 6, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 223 x 289 x 167 x 6 x 83 = 160793976060
Therefore, the lowest common multiple of 446,289,501,180,830 is 160793976060.
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.
446 x 289 x 501 x 180 x 830 = 9647638563600
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.
446 : 1, 2, 223, 446
289 : 1, 17, 289
501 : 1, 3, 167, 501
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
830 : 1, 2, 5, 10, 83, 166, 415, 830
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,289,501,180,830, is 1.
Now, the common factors can be found like this.
446:2x 223
289:17x 17
501:3x 167
180:2x 2x 3x 3x 5
830:2x 5x 83
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 5 = 60
Therefore, the value for common factors is 60.
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 = 9647638563600/(1x60)
LCM = 9647638563600/60
LCM = 160793976060
Thus, we can understand that the LCM of 446,289,501,180,830 is 160793976060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 446, 289, 501, 180, 830
1. What is the LCM of 446, 289, 501, 180, 830?
Answer: LCM of 446, 289, 501, 180, 830 is 160793976060.
2. How to calculate the LCM of 446, 289, 501, 180, 830?
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 446, 289, 501, 180, 830.
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}.