Find the LCM of 507, 438, 235, 926 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, 438, 235, 926. So, keep reading to learn more.
Given numbers are 507,438,235,926
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,438,235,926 is 8053963710.
Find LCM of 507,438,235,926 with Prime Factorization
2 | 507, 438, 235, 926 |
3 | 507, 219, 235, 463 |
169, 73, 235, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 169 x 73 x 235 x 463 = 8053963710
Therefore, the lowest common multiple of 507,438,235,926 is 8053963710.
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 438 x 235 x 926 = 48323782260
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
438 : 1, 2, 3, 6, 73, 146, 219, 438
235 : 1, 5, 47, 235
926 : 1, 2, 463, 926
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,438,235,926, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
438:2x 3x 73
235:5x 47
926:2x 463
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 48323782260/(1x6)
LCM = 48323782260/6
LCM = 8053963710
Thus, we can understand that the LCM of 507,438,235,926 is 8053963710.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 507, 438, 235, 926?
Answer: LCM of 507, 438, 235, 926 is 8053963710.
2. How to calculate the LCM of 507, 438, 235, 926?
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, 438, 235, 926.
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}.