Find the LCM of 555, 548, 221, 784 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 555, 548, 221, 784. So, keep reading to learn more.
Given numbers are 555,548,221,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 555,548,221,784 is 13174128240.
Find LCM of 555,548,221,784 with Prime Factorization
2 | 555, 548, 221, 784 |
2 | 555, 274, 221, 392 |
555, 137, 221, 196 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 555 x 137 x 221 x 196 = 13174128240
Therefore, the lowest common multiple of 555,548,221,784 is 13174128240.
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.
555 x 548 x 221 x 784 = 52696512960
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.
555 : 1, 3, 5, 15, 37, 111, 185, 555
548 : 1, 2, 4, 137, 274, 548
221 : 1, 13, 17, 221
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 555,548,221,784, is 1.
Now, the common factors can be found like this.
555:3x 5x 37
548:2x 2x 137
221:13x 17
784:2x 2x 2x 2x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 52696512960/(1x4)
LCM = 52696512960/4
LCM = 13174128240
Thus, we can understand that the LCM of 555,548,221,784 is 13174128240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 555, 548, 221, 784?
Answer: LCM of 555, 548, 221, 784 is 13174128240.
2. How to calculate the LCM of 555, 548, 221, 784?
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 555, 548, 221, 784.
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}.