Find the LCM of 422, 927, 824, 446 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 422, 927, 824, 446. So, keep reading to learn more.
Given numbers are 422,927,824,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,927,824,446 is 348945048.
Find LCM of 422,927,824,446 with Prime Factorization
2 | 422, 927, 824, 446 |
103 | 211, 927, 412, 223 |
211, 9, 4, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 103 x 211 x 9 x 4 x 223 = 348945048
Therefore, the lowest common multiple of 422,927,824,446 is 348945048.
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.
422 x 927 x 824 x 446 = 143765359776
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.
422 : 1, 2, 211, 422
927 : 1, 3, 9, 103, 309, 927
824 : 1, 2, 4, 8, 103, 206, 412, 824
446 : 1, 2, 223, 446
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,927,824,446, is 1.
Now, the common factors can be found like this.
422:2x 211
927:3x 3x 103
824:2x 2x 2x 103
446:2x 223
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 103 = 412
Therefore, the value for common factors is 412.
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 = 143765359776/(1x412)
LCM = 143765359776/412
LCM = 348945048
Thus, we can understand that the LCM of 422,927,824,446 is 348945048.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 422, 927, 824, 446?
Answer: LCM of 422, 927, 824, 446 is 348945048.
2. How to calculate the LCM of 422, 927, 824, 446?
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 422, 927, 824, 446.
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}.