Find the LCM of 819, 297, 362, 594 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 819, 297, 362, 594. So, keep reading to learn more.
Given numbers are 819,297,362,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,297,362,594 is 9783774.
Find LCM of 819,297,362,594 with Prime Factorization
2 | 819, 297, 362, 594 |
3 | 819, 297, 181, 297 |
3 | 273, 99, 181, 99 |
3 | 91, 33, 181, 33 |
11 | 91, 11, 181, 11 |
91, 1, 181, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 11 x 91 x 1 x 181 x 1 = 9783774
Therefore, the lowest common multiple of 819,297,362,594 is 9783774.
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.
819 x 297 x 362 x 594 = 52304055804
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.
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
297 : 1, 3, 9, 11, 27, 33, 99, 297
362 : 1, 2, 181, 362
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,297,362,594, is 1.
Now, the common factors can be found like this.
819:3x 3x 7x 13
297:3x 3x 3x 11
362:2x 181
594:2x 3x 3x 3x 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 3x 3x 3x 3x 3x 11 = 5346
Therefore, the value for common factors is 5346.
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 = 52304055804/(1x5346)
LCM = 52304055804/5346
LCM = 9783774
Thus, we can understand that the LCM of 819,297,362,594 is 9783774.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 819, 297, 362, 594?
Answer: LCM of 819, 297, 362, 594 is 9783774.
2. How to calculate the LCM of 819, 297, 362, 594?
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 819, 297, 362, 594.
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}.