LCM of 487, 364, 872, 676, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 487, 364, 872, 676, 644 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 487, 364, 872, 676, 644. So, keep reading to learn more.
Given numbers are 487,364,872,676,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,364,872,676,644 is 11554682776.
Find LCM of 487,364,872,676,644 with Prime Factorization
| 2 | 487, 364, 872, 676, 644 |
| 2 | 487, 182, 436, 338, 322 |
| 7 | 487, 91, 218, 169, 161 |
| 13 | 487, 13, 218, 169, 23 |
| 487, 1, 218, 13, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 487 x 1 x 218 x 13 x 23 = 11554682776
Therefore, the lowest common multiple of 487,364,872,676,644 is 11554682776.
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.
487 x 364 x 872 x 676 x 644 = 67294472487424
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.
487 : 1, 487
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
872 : 1, 2, 4, 8, 109, 218, 436, 872
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,364,872,676,644, is 1.
Now, the common factors can be found like this.
487:487
364:2x 2x 7x 13
872:2x 2x 2x 109
676:2x 2x 13x 13
644:2x 2x 7x 23
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 2x 7x 13 = 5824
Therefore, the value for common factors is 5824.
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 = 67294472487424/(1x5824)
LCM = 67294472487424/5824
LCM = 11554682776
Thus, we can understand that the LCM of 487,364,872,676,644 is 11554682776.
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FAQs on LCM of 487, 364, 872, 676, 644
1. What is the LCM of 487, 364, 872, 676, 644?
Answer: LCM of 487, 364, 872, 676, 644 is 11554682776.
2. How to calculate the LCM of 487, 364, 872, 676, 644?
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 487, 364, 872, 676, 644.
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}.