LCM of 489, 588, 300, 916, 478
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 489, 588, 300, 916, 478 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, 588, 300, 916, 478. So, keep reading to learn more.
Given numbers are 489,588,300,916,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,588,300,916,478 is 131140949100.
Find LCM of 489,588,300,916,478 with Prime Factorization
| 2 | 489, 588, 300, 916, 478 |
| 2 | 489, 294, 150, 458, 239 |
| 3 | 489, 147, 75, 229, 239 |
| 163, 49, 25, 229, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 163 x 49 x 25 x 229 x 239 = 131140949100
Therefore, the lowest common multiple of 489,588,300,916,478 is 131140949100.
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 588 x 300 x 916 x 478 = 37768593340800
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
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
916 : 1, 2, 4, 229, 458, 916
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,588,300,916,478, is 1.
Now, the common factors can be found like this.
489:3x 163
588:2x 2x 3x 7x 7
300:2x 2x 3x 5x 5
916:2x 2x 229
478:2x 239
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 2x 2x 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 37768593340800/(1x288)
LCM = 37768593340800/288
LCM = 131140949100
Thus, we can understand that the LCM of 489,588,300,916,478 is 131140949100.
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FAQs on LCM of 489, 588, 300, 916, 478
1. What is the LCM of 489, 588, 300, 916, 478?
Answer: LCM of 489, 588, 300, 916, 478 is 131140949100.
2. How to calculate the LCM of 489, 588, 300, 916, 478?
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, 588, 300, 916, 478.
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}.