Find the LCM of 858, 468, 323, 374 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 858, 468, 323, 374. So, keep reading to learn more.
Given numbers are 858,468,323,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,468,323,374 is 1662804.
Find LCM of 858,468,323,374 with Prime Factorization
2 | 858, 468, 323, 374 |
3 | 429, 234, 323, 187 |
11 | 143, 78, 323, 187 |
13 | 13, 78, 323, 17 |
17 | 1, 6, 323, 17 |
1, 6, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 17 x 1 x 6 x 19 x 1 = 1662804
Therefore, the lowest common multiple of 858,468,323,374 is 1662804.
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.
858 x 468 x 323 x 374 = 48507318288
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
323 : 1, 17, 19, 323
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,468,323,374, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
468:2x 2x 3x 3x 13
323:17x 19
374:2x 11x 17
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 11x 13x 17 = 29172
Therefore, the value for common factors is 29172.
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 = 48507318288/(1x29172)
LCM = 48507318288/29172
LCM = 1662804
Thus, we can understand that the LCM of 858,468,323,374 is 1662804.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 858, 468, 323, 374?
Answer: LCM of 858, 468, 323, 374 is 1662804.
2. How to calculate the LCM of 858, 468, 323, 374?
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 858, 468, 323, 374.
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}.