Find the LCM of 964, 361, 531, 263, 442 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 964, 361, 531, 263, 442. So, keep reading to learn more.
Given numbers are 964,361,531,263,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,361,531,263,442 is 10740556377252.
Find LCM of 964,361,531,263,442 with Prime Factorization
2 | 964, 361, 531, 263, 442 |
482, 361, 531, 263, 221 |
Multiply the prime numbers at the bottom and the left side.
2 x 482 x 361 x 531 x 263 x 221 = 10740556377252
Therefore, the lowest common multiple of 964,361,531,263,442 is 10740556377252.
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.
964 x 361 x 531 x 263 x 442 = 21481112754504
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.
964 : 1, 2, 4, 241, 482, 964
361 : 1, 19, 361
531 : 1, 3, 9, 59, 177, 531
263 : 1, 263
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,361,531,263,442, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
361:19x 19
531:3x 3x 59
263:263
442:2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 21481112754504/(1x2)
LCM = 21481112754504/2
LCM = 10740556377252
Thus, we can understand that the LCM of 964,361,531,263,442 is 10740556377252.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 964, 361, 531, 263, 442?
Answer: LCM of 964, 361, 531, 263, 442 is 10740556377252.
2. How to calculate the LCM of 964, 361, 531, 263, 442?
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 964, 361, 531, 263, 442.
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}.