Find the LCM of 855, 884, 962, 327, 555 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 855, 884, 962, 327, 555. So, keep reading to learn more.
Given numbers are 855,884,962,327,555
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,884,962,327,555 is 3048222060.
Find LCM of 855,884,962,327,555 with Prime Factorization
2 | 855, 884, 962, 327, 555 |
3 | 855, 442, 481, 327, 555 |
5 | 285, 442, 481, 109, 185 |
13 | 57, 442, 481, 109, 37 |
37 | 57, 34, 37, 109, 37 |
57, 34, 1, 109, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 37 x 57 x 34 x 1 x 109 x 1 = 3048222060
Therefore, the lowest common multiple of 855,884,962,327,555 is 3048222060.
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.
855 x 884 x 962 x 327 x 555 = 131957532977400
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
962 : 1, 2, 13, 26, 37, 74, 481, 962
327 : 1, 3, 109, 327
555 : 1, 3, 5, 15, 37, 111, 185, 555
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,884,962,327,555, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
884:2x 2x 13x 17
962:2x 13x 37
327:3x 109
555:3x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 13x 37 = 43290
Therefore, the value for common factors is 43290.
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 = 131957532977400/(1x43290)
LCM = 131957532977400/43290
LCM = 3048222060
Thus, we can understand that the LCM of 855,884,962,327,555 is 3048222060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 855, 884, 962, 327, 555?
Answer: LCM of 855, 884, 962, 327, 555 is 3048222060.
2. How to calculate the LCM of 855, 884, 962, 327, 555?
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 855, 884, 962, 327, 555.
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}.