Find the LCM of 854, 473, 440, 912 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 854, 473, 440, 912. So, keep reading to learn more.
Given numbers are 854,473,440,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 854,473,440,912 is 920987760.
Find LCM of 854,473,440,912 with Prime Factorization
2 | 854, 473, 440, 912 |
2 | 427, 473, 220, 456 |
2 | 427, 473, 110, 228 |
11 | 427, 473, 55, 114 |
427, 43, 5, 114 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 427 x 43 x 5 x 114 = 920987760
Therefore, the lowest common multiple of 854,473,440,912 is 920987760.
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.
854 x 473 x 440 x 912 = 162093845760
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.
854 : 1, 2, 7, 14, 61, 122, 427, 854
473 : 1, 11, 43, 473
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,473,440,912, is 1.
Now, the common factors can be found like this.
854:2x 7x 61
473:11x 43
440:2x 2x 2x 5x 11
912:2x 2x 2x 2x 3x 19
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 11 = 176
Therefore, the value for common factors is 176.
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 = 162093845760/(1x176)
LCM = 162093845760/176
LCM = 920987760
Thus, we can understand that the LCM of 854,473,440,912 is 920987760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 854, 473, 440, 912?
Answer: LCM of 854, 473, 440, 912 is 920987760.
2. How to calculate the LCM of 854, 473, 440, 912?
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 854, 473, 440, 912.
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}.