Find the LCM of 492, 588, 771, 328, 168 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 492, 588, 771, 328, 168. So, keep reading to learn more.
Given numbers are 492,588,771,328,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,588,771,328,168 is 12391512.
Find LCM of 492,588,771,328,168 with Prime Factorization
2 | 492, 588, 771, 328, 168 |
2 | 246, 294, 771, 164, 84 |
2 | 123, 147, 771, 82, 42 |
3 | 123, 147, 771, 41, 21 |
7 | 41, 49, 257, 41, 7 |
41 | 41, 1, 257, 41, 7 |
1, 1, 257, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 41 x 1 x 1 x 257 x 1 x 7 = 12391512
Therefore, the lowest common multiple of 492,588,771,328,168 is 12391512.
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.
492 x 588 x 771 x 328 x 168 = 12290793790464
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
771 : 1, 3, 257, 771
328 : 1, 2, 4, 8, 41, 82, 164, 328
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,588,771,328,168, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
588:2x 2x 3x 7x 7
771:3x 257
328:2x 2x 2x 41
168:2x 2x 2x 3x 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 2x 2x 2x 2x 3x 3x 3x 7x 41 = 991872
Therefore, the value for common factors is 991872.
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 = 12290793790464/(1x991872)
LCM = 12290793790464/991872
LCM = 12391512
Thus, we can understand that the LCM of 492,588,771,328,168 is 12391512.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 492, 588, 771, 328, 168?
Answer: LCM of 492, 588, 771, 328, 168 is 12391512.
2. How to calculate the LCM of 492, 588, 771, 328, 168?
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 492, 588, 771, 328, 168.
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}.