Find the LCM of 843, 822, 812, 983, 648 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 843, 822, 812, 983, 648. So, keep reading to learn more.
Given numbers are 843,822,812,983,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,822,812,983,648 is 4977960528744.
Find LCM of 843,822,812,983,648 with Prime Factorization
2 | 843, 822, 812, 983, 648 |
2 | 843, 411, 406, 983, 324 |
3 | 843, 411, 203, 983, 162 |
281, 137, 203, 983, 54 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 281 x 137 x 203 x 983 x 54 = 4977960528744
Therefore, the lowest common multiple of 843,822,812,983,648 is 4977960528744.
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.
843 x 822 x 812 x 983 x 648 = 358413158069568
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.
843 : 1, 3, 281, 843
822 : 1, 2, 3, 6, 137, 274, 411, 822
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
983 : 1, 983
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,822,812,983,648, is 1.
Now, the common factors can be found like this.
843:3x 281
822:2x 3x 137
812:2x 2x 7x 29
983:983
648:2x 2x 2x 3x 3x 3x 3
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 3 = 72
Therefore, the value for common factors is 72.
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 = 358413158069568/(1x72)
LCM = 358413158069568/72
LCM = 4977960528744
Thus, we can understand that the LCM of 843,822,812,983,648 is 4977960528744.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 843, 822, 812, 983, 648?
Answer: LCM of 843, 822, 812, 983, 648 is 4977960528744.
2. How to calculate the LCM of 843, 822, 812, 983, 648?
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 843, 822, 812, 983, 648.
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}.