Find the LCM of 906, 538, 716, 458, 458 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, 538, 716, 458, 458. So, keep reading to learn more.
Given numbers are 906,538,716,458,458
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,538,716,458,458 is 19980161148.
Find LCM of 906,538,716,458,458 with Prime Factorization
2 | 906, 538, 716, 458, 458 |
229 | 453, 269, 358, 229, 229 |
453, 269, 358, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 229 x 453 x 269 x 358 x 1 x 1 = 19980161148
Therefore, the lowest common multiple of 906,538,716,458,458 is 19980161148.
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 538 x 716 x 458 x 458 = 73207310446272
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
538 : 1, 2, 269, 538
716 : 1, 2, 4, 179, 358, 716
458 : 1, 2, 229, 458
458 : 1, 2, 229, 458
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,538,716,458,458, is 2.
Now, the common factors can be found like this.
906:2x 3x 151
538:2x 269
716:2x 2x 179
458:2x 229
458:2x 229
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 229 = 1832
Therefore, the value for common factors is 1832.
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 = 73207310446272/(2x1832)
LCM = 73207310446272/3664
LCM = 19980161148
Thus, we can understand that the LCM of 906,538,716,458,458 is 19980161148.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 906, 538, 716, 458, 458?
Answer: LCM of 906, 538, 716, 458, 458 is 19980161148.
2. How to calculate the LCM of 906, 538, 716, 458, 458?
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, 538, 716, 458, 458.
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}.