Find the LCM of 218, 481, 324, 807, 588 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 218, 481, 324, 807, 588. So, keep reading to learn more.
Given numbers are 218,481,324,807,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,481,324,807,588 is 223905594276.
Find LCM of 218,481,324,807,588 with Prime Factorization
2 | 218, 481, 324, 807, 588 |
2 | 109, 481, 162, 807, 294 |
3 | 109, 481, 81, 807, 147 |
109, 481, 27, 269, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 109 x 481 x 27 x 269 x 49 = 223905594276
Therefore, the lowest common multiple of 218,481,324,807,588 is 223905594276.
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.
218 x 481 x 324 x 807 x 588 = 16121202787872
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.
218 : 1, 2, 109, 218
481 : 1, 13, 37, 481
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
807 : 1, 3, 269, 807
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,481,324,807,588, is 1.
Now, the common factors can be found like this.
218:2x 109
481:13x 37
324:2x 2x 3x 3x 3x 3
807:3x 269
588:2x 2x 3x 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 2x 2x 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 16121202787872/(1x72)
LCM = 16121202787872/72
LCM = 223905594276
Thus, we can understand that the LCM of 218,481,324,807,588 is 223905594276.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 218, 481, 324, 807, 588?
Answer: LCM of 218, 481, 324, 807, 588 is 223905594276.
2. How to calculate the LCM of 218, 481, 324, 807, 588?
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 218, 481, 324, 807, 588.
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}.