LCM of 489, 808, 457, 849, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 489, 808, 457, 849, 909 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 489, 808, 457, 849, 909. So, keep reading to learn more.
Given numbers are 489,808,457,849,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,808,457,849,909 is 153300690216.
Find LCM of 489,808,457,849,909 with Prime Factorization
| 3 | 489, 808, 457, 849, 909 |
| 101 | 163, 808, 457, 283, 303 |
| 163, 8, 457, 283, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 101 x 163 x 8 x 457 x 283 x 3 = 153300690216
Therefore, the lowest common multiple of 489,808,457,849,909 is 153300690216.
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.
489 x 808 x 457 x 849 x 909 = 139350327406344
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.
489 : 1, 3, 163, 489
808 : 1, 2, 4, 8, 101, 202, 404, 808
457 : 1, 457
849 : 1, 3, 283, 849
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,808,457,849,909, is 1.
Now, the common factors can be found like this.
489:3x 163
808:2x 2x 2x 101
457:457
849:3x 283
909:3x 3x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 101 = 909
Therefore, the value for common factors is 909.
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 = 139350327406344/(1x909)
LCM = 139350327406344/909
LCM = 153300690216
Thus, we can understand that the LCM of 489,808,457,849,909 is 153300690216.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 489, 808, 457, 849, 909
1. What is the LCM of 489, 808, 457, 849, 909?
Answer: LCM of 489, 808, 457, 849, 909 is 153300690216.
2. How to calculate the LCM of 489, 808, 457, 849, 909?
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 489, 808, 457, 849, 909.
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}.