Find the LCM of 604, 312, 216, 945 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 604, 312, 216, 945. So, keep reading to learn more.
Given numbers are 604,312,216,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 604,312,216,945 is 14840280.
Find LCM of 604,312,216,945 with Prime Factorization
2 | 604, 312, 216, 945 |
2 | 302, 156, 108, 945 |
2 | 151, 78, 54, 945 |
3 | 151, 39, 27, 945 |
3 | 151, 13, 9, 315 |
3 | 151, 13, 3, 105 |
151, 13, 1, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 151 x 13 x 1 x 35 = 14840280
Therefore, the lowest common multiple of 604,312,216,945 is 14840280.
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.
604 x 312 x 216 x 945 = 38466005760
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.
604 : 1, 2, 4, 151, 302, 604
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,312,216,945, is 1.
Now, the common factors can be found like this.
604:2x 2x 151
312:2x 2x 2x 3x 13
216:2x 2x 2x 3x 3x 3
945:3x 3x 3x 5x 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 2x 2x 2x 2x 3x 3x 3x 3 = 2592
Therefore, the value for common factors is 2592.
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 = 38466005760/(1x2592)
LCM = 38466005760/2592
LCM = 14840280
Thus, we can understand that the LCM of 604,312,216,945 is 14840280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 604, 312, 216, 945?
Answer: LCM of 604, 312, 216, 945 is 14840280.
2. How to calculate the LCM of 604, 312, 216, 945?
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 604, 312, 216, 945.
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}.