Find the LCM of 643, 884, 749, 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 643, 884, 749, 507. So, keep reading to learn more.
Given numbers are 643,884,749,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 643,884,749,507 is 16603882932.
Find LCM of 643,884,749,507 with Prime Factorization
13 | 643, 884, 749, 507 |
643, 68, 749, 39 |
Multiply the prime numbers at the bottom and the left side.
13 x 643 x 68 x 749 x 39 = 16603882932
Therefore, the lowest common multiple of 643,884,749,507 is 16603882932.
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.
643 x 884 x 749 x 507 = 215850478116
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.
643 : 1, 643
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
749 : 1, 7, 107, 749
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 643,884,749,507, is 1.
Now, the common factors can be found like this.
643:643
884:2x 2x 13x 17
749:7x 107
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.
13 = 13
Therefore, the value for common factors is 13.
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 = 215850478116/(1x13)
LCM = 215850478116/13
LCM = 16603882932
Thus, we can understand that the LCM of 643,884,749,507 is 16603882932.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 643, 884, 749, 507?
Answer: LCM of 643, 884, 749, 507 is 16603882932.
2. How to calculate the LCM of 643, 884, 749, 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 643, 884, 749, 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}.