Find the LCM of 507, 749, 581, 169 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 507, 749, 581, 169. So, keep reading to learn more.
Given numbers are 507,749,581,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,749,581,169 is 31518669.
Find LCM of 507,749,581,169 with Prime Factorization
7 | 507, 749, 581, 169 |
13 | 507, 107, 83, 169 |
13 | 39, 107, 83, 13 |
3, 107, 83, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 13 x 13 x 3 x 107 x 83 x 1 = 31518669
Therefore, the lowest common multiple of 507,749,581,169 is 31518669.
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.
507 x 749 x 581 x 169 = 37286585427
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.
507 : 1, 3, 13, 39, 169, 507
749 : 1, 7, 107, 749
581 : 1, 7, 83, 581
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,749,581,169, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
749:7x 107
581:7x 83
169:13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 13x 13 = 1183
Therefore, the value for common factors is 1183.
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 = 37286585427/(1x1183)
LCM = 37286585427/1183
LCM = 31518669
Thus, we can understand that the LCM of 507,749,581,169 is 31518669.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 507, 749, 581, 169?
Answer: LCM of 507, 749, 581, 169 is 31518669.
2. How to calculate the LCM of 507, 749, 581, 169?
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 507, 749, 581, 169.
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}.