Find the LCM of 561, 807, 669, 686, 507 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, 807, 669, 686, 507. So, keep reading to learn more.
Given numbers are 561,807,669,686,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,807,669,686,507 is 3901492933338.
Find LCM of 561,807,669,686,507 with Prime Factorization
3 | 561, 807, 669, 686, 507 |
187, 269, 223, 686, 169 |
Multiply the prime numbers at the bottom and the left side.
3 x 187 x 269 x 223 x 686 x 169 = 3901492933338
Therefore, the lowest common multiple of 561,807,669,686,507 is 3901492933338.
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 807 x 669 x 686 x 507 = 105340309200126
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
807 : 1, 3, 269, 807
669 : 1, 3, 223, 669
686 : 1, 2, 7, 14, 49, 98, 343, 686
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,807,669,686,507, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
807:3x 269
669:3x 223
686:2x 7x 7x 7
507:3x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 105340309200126/(1x27)
LCM = 105340309200126/27
LCM = 3901492933338
Thus, we can understand that the LCM of 561,807,669,686,507 is 3901492933338.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 561, 807, 669, 686, 507?
Answer: LCM of 561, 807, 669, 686, 507 is 3901492933338.
2. How to calculate the LCM of 561, 807, 669, 686, 507?
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, 807, 669, 686, 507.
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}.