LCM of 589, 484, 904, 387, 263
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 484, 904, 387, 263 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 589, 484, 904, 387, 263. So, keep reading to learn more.
Given numbers are 589,484,904,387,263
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,484,904,387,263 is 6557462400456.
Find LCM of 589,484,904,387,263 with Prime Factorization
| 2 | 589, 484, 904, 387, 263 |
| 2 | 589, 242, 452, 387, 263 |
| 589, 121, 226, 387, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 589 x 121 x 226 x 387 x 263 = 6557462400456
Therefore, the lowest common multiple of 589,484,904,387,263 is 6557462400456.
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.
589 x 484 x 904 x 387 x 263 = 26229849601824
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.
589 : 1, 19, 31, 589
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
904 : 1, 2, 4, 8, 113, 226, 452, 904
387 : 1, 3, 9, 43, 129, 387
263 : 1, 263
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,484,904,387,263, is 1.
Now, the common factors can be found like this.
589:19x 31
484:2x 2x 11x 11
904:2x 2x 2x 113
387:3x 3x 43
263:263
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 26229849601824/(1x4)
LCM = 26229849601824/4
LCM = 6557462400456
Thus, we can understand that the LCM of 589,484,904,387,263 is 6557462400456.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 589, 484, 904, 387, 263
1. What is the LCM of 589, 484, 904, 387, 263?
Answer: LCM of 589, 484, 904, 387, 263 is 6557462400456.
2. How to calculate the LCM of 589, 484, 904, 387, 263?
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 589, 484, 904, 387, 263.
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}.