Find the LCM of 605, 972, 304, 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 605, 972, 304, 945. So, keep reading to learn more.
Given numbers are 605,972,304,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,972,304,945 is 312847920.
Find LCM of 605,972,304,945 with Prime Factorization
2 | 605, 972, 304, 945 |
2 | 605, 486, 152, 945 |
3 | 605, 243, 76, 945 |
3 | 605, 81, 76, 315 |
3 | 605, 27, 76, 105 |
5 | 605, 9, 76, 35 |
121, 9, 76, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 121 x 9 x 76 x 7 = 312847920
Therefore, the lowest common multiple of 605,972,304,945 is 312847920.
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.
605 x 972 x 304 x 945 = 168937876800
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.
605 : 1, 5, 11, 55, 121, 605
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
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 605,972,304,945, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
972:2x 2x 3x 3x 3x 3x 3
304:2x 2x 2x 2x 19
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 3x 3x 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 168937876800/(1x540)
LCM = 168937876800/540
LCM = 312847920
Thus, we can understand that the LCM of 605,972,304,945 is 312847920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 605, 972, 304, 945?
Answer: LCM of 605, 972, 304, 945 is 312847920.
2. How to calculate the LCM of 605, 972, 304, 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 605, 972, 304, 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}.