Find the LCM of 561, 949, 407, 361 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 561, 949, 407, 361. So, keep reading to learn more.
Given numbers are 561,949,407,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,949,407,361 is 7111119873.
Find LCM of 561,949,407,361 with Prime Factorization
11 | 561, 949, 407, 361 |
51, 949, 37, 361 |
Multiply the prime numbers at the bottom and the left side.
11 x 51 x 949 x 37 x 361 = 7111119873
Therefore, the lowest common multiple of 561,949,407,361 is 7111119873.
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.
561 x 949 x 407 x 361 = 78222318603
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
949 : 1, 13, 73, 949
407 : 1, 11, 37, 407
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,949,407,361, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
949:13x 73
407:11x 37
361:19x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 78222318603/(1x11)
LCM = 78222318603/11
LCM = 7111119873
Thus, we can understand that the LCM of 561,949,407,361 is 7111119873.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 561, 949, 407, 361?
Answer: LCM of 561, 949, 407, 361 is 7111119873.
2. How to calculate the LCM of 561, 949, 407, 361?
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 561, 949, 407, 361.
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}.