Find the LCM of 285, 140, 896, 324, 524 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 285, 140, 896, 324, 524. So, keep reading to learn more.
Given numbers are 285,140,896,324,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 285,140,896,324,524 is 903208320.
Find LCM of 285,140,896,324,524 with Prime Factorization
2 | 285, 140, 896, 324, 524 |
2 | 285, 70, 448, 162, 262 |
3 | 285, 35, 224, 81, 131 |
5 | 95, 35, 224, 27, 131 |
7 | 19, 7, 224, 27, 131 |
19, 1, 32, 27, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 19 x 1 x 32 x 27 x 131 = 903208320
Therefore, the lowest common multiple of 285,140,896,324,524 is 903208320.
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.
285 x 140 x 896 x 324 x 524 = 6069559910400
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.
285 : 1, 3, 5, 15, 19, 57, 95, 285
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,140,896,324,524, is 1.
Now, the common factors can be found like this.
285:3x 5x 19
140:2x 2x 5x 7
896:2x 2x 2x 2x 2x 2x 2x 7
324:2x 2x 3x 3x 3x 3
524:2x 2x 131
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 2x 2x 3x 5x 7 = 6720
Therefore, the value for common factors is 6720.
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 = 6069559910400/(1x6720)
LCM = 6069559910400/6720
LCM = 903208320
Thus, we can understand that the LCM of 285,140,896,324,524 is 903208320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 285, 140, 896, 324, 524?
Answer: LCM of 285, 140, 896, 324, 524 is 903208320.
2. How to calculate the LCM of 285, 140, 896, 324, 524?
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 285, 140, 896, 324, 524.
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}.