Find the LCM of 632, 221, 545, 300, 935 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 632, 221, 545, 300, 935. So, keep reading to learn more.
Given numbers are 632,221,545,300,935
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 632,221,545,300,935 is 12560004600.
Find LCM of 632,221,545,300,935 with Prime Factorization
2 | 632, 221, 545, 300, 935 |
2 | 316, 221, 545, 150, 935 |
5 | 158, 221, 545, 75, 935 |
17 | 158, 221, 109, 15, 187 |
158, 13, 109, 15, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 158 x 13 x 109 x 15 x 11 = 12560004600
Therefore, the lowest common multiple of 632,221,545,300,935 is 12560004600.
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.
632 x 221 x 545 x 300 x 935 = 21352007820000
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.
632 : 1, 2, 4, 8, 79, 158, 316, 632
221 : 1, 13, 17, 221
545 : 1, 5, 109, 545
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
935 : 1, 5, 11, 17, 55, 85, 187, 935
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,221,545,300,935, is 1.
Now, the common factors can be found like this.
632:2x 2x 2x 79
221:13x 17
545:5x 109
300:2x 2x 3x 5x 5
935:5x 11x 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 5x 5x 17 = 1700
Therefore, the value for common factors is 1700.
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 = 21352007820000/(1x1700)
LCM = 21352007820000/1700
LCM = 12560004600
Thus, we can understand that the LCM of 632,221,545,300,935 is 12560004600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 632, 221, 545, 300, 935?
Answer: LCM of 632, 221, 545, 300, 935 is 12560004600.
2. How to calculate the LCM of 632, 221, 545, 300, 935?
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 632, 221, 545, 300, 935.
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}.