Find the LCM of 666, 688, 817, 449, 814 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 666, 688, 817, 449, 814. So, keep reading to learn more.
Given numbers are 666,688,817,449,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 666,688,817,449,814 is 21499348464.
Find LCM of 666,688,817,449,814 with Prime Factorization
2 | 666, 688, 817, 449, 814 |
37 | 333, 344, 817, 449, 407 |
43 | 9, 344, 817, 449, 11 |
9, 8, 19, 449, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 37 x 43 x 9 x 8 x 19 x 449 x 11 = 21499348464
Therefore, the lowest common multiple of 666,688,817,449,814 is 21499348464.
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.
666 x 688 x 817 x 449 x 814 = 136821853624896
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.
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
817 : 1, 19, 43, 817
449 : 1, 449
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 666,688,817,449,814, is 1.
Now, the common factors can be found like this.
666:2x 3x 3x 37
688:2x 2x 2x 2x 43
817:19x 43
449:449
814:2x 11x 37
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 37x 43 = 6364
Therefore, the value for common factors is 6364.
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 = 136821853624896/(1x6364)
LCM = 136821853624896/6364
LCM = 21499348464
Thus, we can understand that the LCM of 666,688,817,449,814 is 21499348464.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 666, 688, 817, 449, 814?
Answer: LCM of 666, 688, 817, 449, 814 is 21499348464.
2. How to calculate the LCM of 666, 688, 817, 449, 814?
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 666, 688, 817, 449, 814.
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}.