Find the LCM of 906, 426, 236, 222, 882 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 906, 426, 236, 222, 882. So, keep reading to learn more.
Given numbers are 906,426,236,222,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,426,236,222,882 is 41284555452.
Find LCM of 906,426,236,222,882 with Prime Factorization
2 | 906, 426, 236, 222, 882 |
3 | 453, 213, 118, 111, 441 |
151, 71, 118, 37, 147 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 151 x 71 x 118 x 37 x 147 = 41284555452
Therefore, the lowest common multiple of 906,426,236,222,882 is 41284555452.
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.
906 x 426 x 236 x 222 x 882 = 17834927955264
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
426 : 1, 2, 3, 6, 71, 142, 213, 426
236 : 1, 2, 4, 59, 118, 236
222 : 1, 2, 3, 6, 37, 74, 111, 222
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,426,236,222,882, is 2.
Now, the common factors can be found like this.
906:2x 3x 151
426:2x 3x 71
236:2x 2x 59
222:2x 3x 37
882:2x 3x 3x 7x 7
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 17834927955264/(2x216)
LCM = 17834927955264/432
LCM = 41284555452
Thus, we can understand that the LCM of 906,426,236,222,882 is 41284555452.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 906, 426, 236, 222, 882?
Answer: LCM of 906, 426, 236, 222, 882 is 41284555452.
2. How to calculate the LCM of 906, 426, 236, 222, 882?
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 906, 426, 236, 222, 882.
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}.