Find the LCM of 531, 564, 322, 886, 376 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 531, 564, 322, 886, 376. So, keep reading to learn more.
Given numbers are 531,564,322,886,376
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,564,322,886,376 is 14240064888.
Find LCM of 531,564,322,886,376 with Prime Factorization
2 | 531, 564, 322, 886, 376 |
2 | 531, 282, 161, 443, 188 |
3 | 531, 141, 161, 443, 94 |
47 | 177, 47, 161, 443, 94 |
177, 1, 161, 443, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 177 x 1 x 161 x 443 x 2 = 14240064888
Therefore, the lowest common multiple of 531,564,322,886,376 is 14240064888.
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.
531 x 564 x 322 x 886 x 376 = 32125586387328
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.
531 : 1, 3, 9, 59, 177, 531
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
322 : 1, 2, 7, 14, 23, 46, 161, 322
886 : 1, 2, 443, 886
376 : 1, 2, 4, 8, 47, 94, 188, 376
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,564,322,886,376, is 1.
Now, the common factors can be found like this.
531:3x 3x 59
564:2x 2x 3x 47
322:2x 7x 23
886:2x 443
376:2x 2x 2x 47
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 2x 3x 47 = 2256
Therefore, the value for common factors is 2256.
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 = 32125586387328/(1x2256)
LCM = 32125586387328/2256
LCM = 14240064888
Thus, we can understand that the LCM of 531,564,322,886,376 is 14240064888.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 531, 564, 322, 886, 376?
Answer: LCM of 531, 564, 322, 886, 376 is 14240064888.
2. How to calculate the LCM of 531, 564, 322, 886, 376?
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 531, 564, 322, 886, 376.
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}.