Find the LCM of 700, 903, 501, 813, 282 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 700, 903, 501, 813, 282. So, keep reading to learn more.
Given numbers are 700,903,501,813,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 700,903,501,813,282 is 192075233700.
Find LCM of 700,903,501,813,282 with Prime Factorization
2 | 700, 903, 501, 813, 282 |
3 | 350, 903, 501, 813, 141 |
7 | 350, 301, 167, 271, 47 |
50, 43, 167, 271, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 50 x 43 x 167 x 271 x 47 = 192075233700
Therefore, the lowest common multiple of 700,903,501,813,282 is 192075233700.
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.
700 x 903 x 501 x 813 x 282 = 72604438338600
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.
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
903 : 1, 3, 7, 21, 43, 129, 301, 903
501 : 1, 3, 167, 501
813 : 1, 3, 271, 813
282 : 1, 2, 3, 6, 47, 94, 141, 282
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,903,501,813,282, is 1.
Now, the common factors can be found like this.
700:2x 2x 5x 5x 7
903:3x 7x 43
501:3x 167
813:3x 271
282:2x 3x 47
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 7 = 378
Therefore, the value for common factors is 378.
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 = 72604438338600/(1x378)
LCM = 72604438338600/378
LCM = 192075233700
Thus, we can understand that the LCM of 700,903,501,813,282 is 192075233700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 700, 903, 501, 813, 282?
Answer: LCM of 700, 903, 501, 813, 282 is 192075233700.
2. How to calculate the LCM of 700, 903, 501, 813, 282?
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 700, 903, 501, 813, 282.
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}.