LCM of 489, 532, 216, 807, 376
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 489, 532, 216, 807, 376 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, 532, 216, 807, 376. So, keep reading to learn more.
Given numbers are 489,532,216,807,376
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,532,216,807,376 is 59202920952.
Find LCM of 489,532,216,807,376 with Prime Factorization
| 2 | 489, 532, 216, 807, 376 |
| 2 | 489, 266, 108, 807, 188 |
| 2 | 489, 133, 54, 807, 94 |
| 3 | 489, 133, 27, 807, 47 |
| 163, 133, 9, 269, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 163 x 133 x 9 x 269 x 47 = 59202920952
Therefore, the lowest common multiple of 489,532,216,807,376 is 59202920952.
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 532 x 216 x 807 x 376 = 17050441234176
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
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
807 : 1, 3, 269, 807
376 : 1, 2, 4, 8, 47, 94, 188, 376
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,532,216,807,376, is 1.
Now, the common factors can be found like this.
489:3x 163
532:2x 2x 7x 19
216:2x 2x 2x 3x 3x 3
807:3x 269
376:2x 2x 2x 47
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 = 17050441234176/(1x288)
LCM = 17050441234176/288
LCM = 59202920952
Thus, we can understand that the LCM of 489,532,216,807,376 is 59202920952.
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FAQs on LCM of 489, 532, 216, 807, 376
1. What is the LCM of 489, 532, 216, 807, 376?
Answer: LCM of 489, 532, 216, 807, 376 is 59202920952.
2. How to calculate the LCM of 489, 532, 216, 807, 376?
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, 532, 216, 807, 376.
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}.