Find the LCM of 539, 808, 715, 476 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 539, 808, 715, 476. So, keep reading to learn more.
Given numbers are 539,808,715,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 539,808,715,476 is 481240760.
Find LCM of 539,808,715,476 with Prime Factorization
2 | 539, 808, 715, 476 |
2 | 539, 404, 715, 238 |
7 | 539, 202, 715, 119 |
11 | 77, 202, 715, 17 |
7, 202, 65, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 7 x 202 x 65 x 17 = 481240760
Therefore, the lowest common multiple of 539,808,715,476 is 481240760.
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.
539 x 808 x 715 x 476 = 148222154080
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.
539 : 1, 7, 11, 49, 77, 539
808 : 1, 2, 4, 8, 101, 202, 404, 808
715 : 1, 5, 11, 13, 55, 65, 143, 715
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,808,715,476, is 1.
Now, the common factors can be found like this.
539:7x 7x 11
808:2x 2x 2x 101
715:5x 11x 13
476:2x 2x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 7x 11 = 308
Therefore, the value for common factors is 308.
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 = 148222154080/(1x308)
LCM = 148222154080/308
LCM = 481240760
Thus, we can understand that the LCM of 539,808,715,476 is 481240760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 539, 808, 715, 476?
Answer: LCM of 539, 808, 715, 476 is 481240760.
2. How to calculate the LCM of 539, 808, 715, 476?
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 539, 808, 715, 476.
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}.