Find the LCM of 463, 882, 973, 369 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 463, 882, 973, 369. So, keep reading to learn more.
Given numbers are 463,882,973,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,882,973,369 is 2327277834.
Find LCM of 463,882,973,369 with Prime Factorization
3 | 463, 882, 973, 369 |
3 | 463, 294, 973, 123 |
7 | 463, 98, 973, 41 |
463, 14, 139, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 463 x 14 x 139 x 41 = 2327277834
Therefore, the lowest common multiple of 463,882,973,369 is 2327277834.
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.
463 x 882 x 973 x 369 = 146618503542
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.
463 : 1, 463
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
973 : 1, 7, 139, 973
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,882,973,369, is 1.
Now, the common factors can be found like this.
463:463
882:2x 3x 3x 7x 7
973:7x 139
369:3x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7 = 63
Therefore, the value for common factors is 63.
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 = 146618503542/(1x63)
LCM = 146618503542/63
LCM = 2327277834
Thus, we can understand that the LCM of 463,882,973,369 is 2327277834.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 463, 882, 973, 369?
Answer: LCM of 463, 882, 973, 369 is 2327277834.
2. How to calculate the LCM of 463, 882, 973, 369?
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 463, 882, 973, 369.
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}.