Find the LCM of 812, 699, 840, 566 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 812, 699, 840, 566. So, keep reading to learn more.
Given numbers are 812,699,840,566
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,699,840,566 is 1606274040.
Find LCM of 812,699,840,566 with Prime Factorization
2 | 812, 699, 840, 566 |
2 | 406, 699, 420, 283 |
3 | 203, 699, 210, 283 |
7 | 203, 233, 70, 283 |
29, 233, 10, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 29 x 233 x 10 x 283 = 1606274040
Therefore, the lowest common multiple of 812,699,840,566 is 1606274040.
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.
812 x 699 x 840 x 566 = 269854038720
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.
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
699 : 1, 3, 233, 699
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
566 : 1, 2, 283, 566
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,699,840,566, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
699:3x 233
840:2x 2x 2x 3x 5x 7
566:2x 283
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 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 269854038720/(1x168)
LCM = 269854038720/168
LCM = 1606274040
Thus, we can understand that the LCM of 812,699,840,566 is 1606274040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 812, 699, 840, 566?
Answer: LCM of 812, 699, 840, 566 is 1606274040.
2. How to calculate the LCM of 812, 699, 840, 566?
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 812, 699, 840, 566.
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}.