Find the LCM of 877, 533, 330, 294, 326 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 877, 533, 330, 294, 326. So, keep reading to learn more.
Given numbers are 877,533,330,294,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 877,533,330,294,326 is 1232038918110.
Find LCM of 877,533,330,294,326 with Prime Factorization
2 | 877, 533, 330, 294, 326 |
3 | 877, 533, 165, 147, 163 |
877, 533, 55, 49, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 877 x 533 x 55 x 49 x 163 = 1232038918110
Therefore, the lowest common multiple of 877,533,330,294,326 is 1232038918110.
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.
877 x 533 x 330 x 294 x 326 = 14784467017320
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.
877 : 1, 877
533 : 1, 13, 41, 533
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
326 : 1, 2, 163, 326
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 877,533,330,294,326, is 1.
Now, the common factors can be found like this.
877:877
533:13x 41
330:2x 3x 5x 11
294:2x 3x 7x 7
326:2x 163
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 3 = 12
Therefore, the value for common factors is 12.
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 = 14784467017320/(1x12)
LCM = 14784467017320/12
LCM = 1232038918110
Thus, we can understand that the LCM of 877,533,330,294,326 is 1232038918110.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 877, 533, 330, 294, 326?
Answer: LCM of 877, 533, 330, 294, 326 is 1232038918110.
2. How to calculate the LCM of 877, 533, 330, 294, 326?
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 877, 533, 330, 294, 326.
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}.