Find the LCM of 474, 411, 840, 399, 320 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 474, 411, 840, 399, 320. So, keep reading to learn more.
Given numbers are 474,411,840,399,320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 474,411,840,399,320 is 1381880640.
Find LCM of 474,411,840,399,320 with Prime Factorization
2 | 474, 411, 840, 399, 320 |
2 | 237, 411, 420, 399, 160 |
2 | 237, 411, 210, 399, 80 |
3 | 237, 411, 105, 399, 40 |
5 | 79, 137, 35, 133, 40 |
7 | 79, 137, 7, 133, 8 |
79, 137, 1, 19, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 79 x 137 x 1 x 19 x 8 = 1381880640
Therefore, the lowest common multiple of 474,411,840,399,320 is 1381880640.
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.
474 x 411 x 840 x 399 x 320 = 20894035276800
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.
474 : 1, 2, 3, 6, 79, 158, 237, 474
411 : 1, 3, 137, 411
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
399 : 1, 3, 7, 19, 21, 57, 133, 399
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,411,840,399,320, is 1.
Now, the common factors can be found like this.
474:2x 3x 79
411:3x 137
840:2x 2x 2x 3x 5x 7
399:3x 7x 19
320:2x 2x 2x 2x 2x 2x 5
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 3x 3x 5x 7 = 15120
Therefore, the value for common factors is 15120.
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 = 20894035276800/(1x15120)
LCM = 20894035276800/15120
LCM = 1381880640
Thus, we can understand that the LCM of 474,411,840,399,320 is 1381880640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 474, 411, 840, 399, 320?
Answer: LCM of 474, 411, 840, 399, 320 is 1381880640.
2. How to calculate the LCM of 474, 411, 840, 399, 320?
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 474, 411, 840, 399, 320.
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}.