Find the LCM of 462, 842, 112, 523 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 462, 842, 112, 523. So, keep reading to learn more.
Given numbers are 462,842,112,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,842,112,523 is 813796368.
Find LCM of 462,842,112,523 with Prime Factorization
2 | 462, 842, 112, 523 |
7 | 231, 421, 56, 523 |
33, 421, 8, 523 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 33 x 421 x 8 x 523 = 813796368
Therefore, the lowest common multiple of 462,842,112,523 is 813796368.
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.
462 x 842 x 112 x 523 = 22786298304
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
842 : 1, 2, 421, 842
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,842,112,523, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
842:2x 421
112:2x 2x 2x 2x 7
523:523
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 7 = 28
Therefore, the value for common factors is 28.
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 = 22786298304/(1x28)
LCM = 22786298304/28
LCM = 813796368
Thus, we can understand that the LCM of 462,842,112,523 is 813796368.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 462, 842, 112, 523?
Answer: LCM of 462, 842, 112, 523 is 813796368.
2. How to calculate the LCM of 462, 842, 112, 523?
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 462, 842, 112, 523.
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}.