Find the LCM of 814, 666, 962, 242, 892 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, 666, 962, 242, 892. So, keep reading to learn more.
Given numbers are 814,666,962,242,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,666,962,242,892 is 467237628.
Find LCM of 814,666,962,242,892 with Prime Factorization
2 | 814, 666, 962, 242, 892 |
11 | 407, 333, 481, 121, 446 |
37 | 37, 333, 481, 11, 446 |
1, 9, 13, 11, 446 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 37 x 1 x 9 x 13 x 11 x 446 = 467237628
Therefore, the lowest common multiple of 814,666,962,242,892 is 467237628.
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 666 x 962 x 242 x 892 = 112578103040832
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
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
962 : 1, 2, 13, 26, 37, 74, 481, 962
242 : 1, 2, 11, 22, 121, 242
892 : 1, 2, 4, 223, 446, 892
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,666,962,242,892, is 2.
Now, the common factors can be found like this.
814:2x 11x 37
666:2x 3x 3x 37
962:2x 13x 37
242:2x 11x 11
892:2x 2x 223
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 11x 37x 37 = 120472
Therefore, the value for common factors is 120472.
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 = 112578103040832/(2x120472)
LCM = 112578103040832/240944
LCM = 467237628
Thus, we can understand that the LCM of 814,666,962,242,892 is 467237628.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 666, 962, 242, 892?
Answer: LCM of 814, 666, 962, 242, 892 is 467237628.
2. How to calculate the LCM of 814, 666, 962, 242, 892?
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, 666, 962, 242, 892.
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}.