Find the LCM of 814, 783, 164, 899 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 814, 783, 164, 899. So, keep reading to learn more.
Given numbers are 814,783,164,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,783,164,899 is 1620174204.
Find LCM of 814,783,164,899 with Prime Factorization
2 | 814, 783, 164, 899 |
29 | 407, 783, 82, 899 |
407, 27, 82, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 407 x 27 x 82 x 31 = 1620174204
Therefore, the lowest common multiple of 814,783,164,899 is 1620174204.
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.
814 x 783 x 164 x 899 = 93970103832
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
783 : 1, 3, 9, 27, 29, 87, 261, 783
164 : 1, 2, 4, 41, 82, 164
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,783,164,899, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
783:3x 3x 3x 29
164:2x 2x 41
899:29x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 29 = 58
Therefore, the value for common factors is 58.
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 = 93970103832/(1x58)
LCM = 93970103832/58
LCM = 1620174204
Thus, we can understand that the LCM of 814,783,164,899 is 1620174204.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 783, 164, 899?
Answer: LCM of 814, 783, 164, 899 is 1620174204.
2. How to calculate the LCM of 814, 783, 164, 899?
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 814, 783, 164, 899.
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}.