Find the LCM of 827, 588, 606, 468, 449 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 827, 588, 606, 468, 449. So, keep reading to learn more.
Given numbers are 827,588,606,468,449
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 827,588,606,468,449 is 860033082636.
Find LCM of 827,588,606,468,449 with Prime Factorization
2 | 827, 588, 606, 468, 449 |
2 | 827, 294, 303, 234, 449 |
3 | 827, 147, 303, 117, 449 |
827, 49, 101, 39, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 827 x 49 x 101 x 39 x 449 = 860033082636
Therefore, the lowest common multiple of 827,588,606,468,449 is 860033082636.
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.
827 x 588 x 606 x 468 x 449 = 61922381949792
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.
827 : 1, 827
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
606 : 1, 2, 3, 6, 101, 202, 303, 606
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
449 : 1, 449
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,588,606,468,449, is 1.
Now, the common factors can be found like this.
827:827
588:2x 2x 3x 7x 7
606:2x 3x 101
468:2x 2x 3x 3x 13
449:449
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 61922381949792/(1x72)
LCM = 61922381949792/72
LCM = 860033082636
Thus, we can understand that the LCM of 827,588,606,468,449 is 860033082636.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 827, 588, 606, 468, 449?
Answer: LCM of 827, 588, 606, 468, 449 is 860033082636.
2. How to calculate the LCM of 827, 588, 606, 468, 449?
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 827, 588, 606, 468, 449.
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}.