Find the LCM of 892, 335, 438, 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 892, 335, 438, 449. So, keep reading to learn more.
Given numbers are 892,335,438,449
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,335,438,449 is 29383269420.
Find LCM of 892,335,438,449 with Prime Factorization
2 | 892, 335, 438, 449 |
446, 335, 219, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 446 x 335 x 219 x 449 = 29383269420
Therefore, the lowest common multiple of 892,335,438,449 is 29383269420.
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.
892 x 335 x 438 x 449 = 58766538840
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.
892 : 1, 2, 4, 223, 446, 892
335 : 1, 5, 67, 335
438 : 1, 2, 3, 6, 73, 146, 219, 438
449 : 1, 449
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,335,438,449, is 1.
Now, the common factors can be found like this.
892:2x 2x 223
335:5x 67
438:2x 3x 73
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.
2 = 2
Therefore, the value for common factors is 2.
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 = 58766538840/(1x2)
LCM = 58766538840/2
LCM = 29383269420
Thus, we can understand that the LCM of 892,335,438,449 is 29383269420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 892, 335, 438, 449?
Answer: LCM of 892, 335, 438, 449 is 29383269420.
2. How to calculate the LCM of 892, 335, 438, 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 892, 335, 438, 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}.