Find the LCM of 449, 248, 977, 961, 785 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, 248, 977, 961, 785. So, keep reading to learn more.
Given numbers are 449,248,977,961,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 449,248,977,961,785 is 2647426648840.
Find LCM of 449,248,977,961,785 with Prime Factorization
31 | 449, 248, 977, 961, 785 |
449, 8, 977, 31, 785 |
Multiply the prime numbers at the bottom and the left side.
31 x 449 x 8 x 977 x 31 x 785 = 2647426648840
Therefore, the lowest common multiple of 449,248,977,961,785 is 2647426648840.
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 248 x 977 x 961 x 785 = 82070226114040
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
248 : 1, 2, 4, 8, 31, 62, 124, 248
977 : 1, 977
961 : 1, 31, 961
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,248,977,961,785, is 1.
Now, the common factors can be found like this.
449:449
248:2x 2x 2x 31
977:977
961:31x 31
785:5x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
31 = 31
Therefore, the value for common factors is 31.
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 = 82070226114040/(1x31)
LCM = 82070226114040/31
LCM = 2647426648840
Thus, we can understand that the LCM of 449,248,977,961,785 is 2647426648840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 449, 248, 977, 961, 785?
Answer: LCM of 449, 248, 977, 961, 785 is 2647426648840.
2. How to calculate the LCM of 449, 248, 977, 961, 785?
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, 248, 977, 961, 785.
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}.