LCM of 594, 365, 978, 324, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 594, 365, 978, 324, 462 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 594, 365, 978, 324, 462. So, keep reading to learn more.
Given numbers are 594,365,978,324,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 594,365,978,324,462 is 1484281260.
Find LCM of 594,365,978,324,462 with Prime Factorization
| 2 | 594, 365, 978, 324, 462 |
| 3 | 297, 365, 489, 162, 231 |
| 3 | 99, 365, 163, 54, 77 |
| 3 | 33, 365, 163, 18, 77 |
| 11 | 11, 365, 163, 6, 77 |
| 1, 365, 163, 6, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 11 x 1 x 365 x 163 x 6 x 7 = 1484281260
Therefore, the lowest common multiple of 594,365,978,324,462 is 1484281260.
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.
594 x 365 x 978 x 324 x 462 = 31739870463840
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.
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
365 : 1, 5, 73, 365
978 : 1, 2, 3, 6, 163, 326, 489, 978
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 594,365,978,324,462, is 1.
Now, the common factors can be found like this.
594:2x 3x 3x 3x 11
365:5x 73
978:2x 3x 163
324:2x 2x 3x 3x 3x 3
462:2x 3x 7x 11
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 3x 3x 3x 3x 11 = 21384
Therefore, the value for common factors is 21384.
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 = 31739870463840/(1x21384)
LCM = 31739870463840/21384
LCM = 1484281260
Thus, we can understand that the LCM of 594,365,978,324,462 is 1484281260.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 594, 365, 978, 324, 462
1. What is the LCM of 594, 365, 978, 324, 462?
Answer: LCM of 594, 365, 978, 324, 462 is 1484281260.
2. How to calculate the LCM of 594, 365, 978, 324, 462?
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 594, 365, 978, 324, 462.
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}.