Find the LCM of 168, 442, 501, 778, 147 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 168, 442, 501, 778, 147. So, keep reading to learn more.
Given numbers are 168,442,501,778,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,442,501,778,147 is 16883623848.
Find LCM of 168,442,501,778,147 with Prime Factorization
2 | 168, 442, 501, 778, 147 |
3 | 84, 221, 501, 389, 147 |
7 | 28, 221, 167, 389, 49 |
4, 221, 167, 389, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 4 x 221 x 167 x 389 x 7 = 16883623848
Therefore, the lowest common multiple of 168,442,501,778,147 is 16883623848.
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.
168 x 442 x 501 x 778 x 147 = 4254673209696
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
442 : 1, 2, 13, 17, 26, 34, 221, 442
501 : 1, 3, 167, 501
778 : 1, 2, 389, 778
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,442,501,778,147, is 1.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
442:2x 13x 17
501:3x 167
778:2x 389
147:3x 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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 4254673209696/(1x252)
LCM = 4254673209696/252
LCM = 16883623848
Thus, we can understand that the LCM of 168,442,501,778,147 is 16883623848.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 168, 442, 501, 778, 147?
Answer: LCM of 168, 442, 501, 778, 147 is 16883623848.
2. How to calculate the LCM of 168, 442, 501, 778, 147?
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 168, 442, 501, 778, 147.
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}.