Find the LCM of 449, 159, 449, 689 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 449, 159, 449, 689. So, keep reading to learn more.
Given numbers are 449,159,449,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 449,159,449,689 is 928083.
Find LCM of 449,159,449,689 with Prime Factorization
53 | 449, 159, 449, 689 |
449 | 449, 3, 449, 13 |
1, 3, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
53 x 449 x 1 x 3 x 1 x 13 = 928083
Therefore, the lowest common multiple of 449,159,449,689 is 928083.
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.
449 x 159 x 449 x 689 = 22085591151
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.
449 : 1, 449
159 : 1, 3, 53, 159
449 : 1, 449
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,159,449,689, is 1.
Now, the common factors can be found like this.
449:449
159:3x 53
449:449
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
53x 449 = 23797
Therefore, the value for common factors is 23797.
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 = 22085591151/(1x23797)
LCM = 22085591151/23797
LCM = 928083
Thus, we can understand that the LCM of 449,159,449,689 is 928083.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 449, 159, 449, 689?
Answer: LCM of 449, 159, 449, 689 is 928083.
2. How to calculate the LCM of 449, 159, 449, 689?
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 449, 159, 449, 689.
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}.