Find the LCM of 588, 648, 412, 942 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 588, 648, 412, 942. So, keep reading to learn more.
Given numbers are 588,648,412,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 588,648,412,942 is 513461592.
Find LCM of 588,648,412,942 with Prime Factorization
2 | 588, 648, 412, 942 |
2 | 294, 324, 206, 471 |
3 | 147, 162, 103, 471 |
49, 54, 103, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 49 x 54 x 103 x 157 = 513461592
Therefore, the lowest common multiple of 588,648,412,942 is 513461592.
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.
588 x 648 x 412 x 942 = 147876938496
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.
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
412 : 1, 2, 4, 103, 206, 412
942 : 1, 2, 3, 6, 157, 314, 471, 942
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,648,412,942, is 2.
Now, the common factors can be found like this.
588:2x 2x 3x 7x 7
648:2x 2x 2x 3x 3x 3x 3
412:2x 2x 103
942:2x 3x 157
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 147876938496/(2x144)
LCM = 147876938496/288
LCM = 513461592
Thus, we can understand that the LCM of 588,648,412,942 is 513461592.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 588, 648, 412, 942?
Answer: LCM of 588, 648, 412, 942 is 513461592.
2. How to calculate the LCM of 588, 648, 412, 942?
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 588, 648, 412, 942.
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}.