Find the LCM of 208, 321, 358, 492, 362 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 208, 321, 358, 492, 362. So, keep reading to learn more.
Given numbers are 208,321,358,492,362
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 208,321,358,492,362 is 88691873712.
Find LCM of 208,321,358,492,362 with Prime Factorization
2 | 208, 321, 358, 492, 362 |
2 | 104, 321, 179, 246, 181 |
3 | 52, 321, 179, 123, 181 |
52, 107, 179, 41, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 52 x 107 x 179 x 41 x 181 = 88691873712
Therefore, the lowest common multiple of 208,321,358,492,362 is 88691873712.
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.
208 x 321 x 358 x 492 x 362 = 4257209938176
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.
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
321 : 1, 3, 107, 321
358 : 1, 2, 179, 358
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
362 : 1, 2, 181, 362
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,321,358,492,362, is 1.
Now, the common factors can be found like this.
208:2x 2x 2x 2x 13
321:3x 107
358:2x 179
492:2x 2x 3x 41
362:2x 181
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 3 = 48
Therefore, the value for common factors is 48.
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 = 4257209938176/(1x48)
LCM = 4257209938176/48
LCM = 88691873712
Thus, we can understand that the LCM of 208,321,358,492,362 is 88691873712.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 208, 321, 358, 492, 362?
Answer: LCM of 208, 321, 358, 492, 362 is 88691873712.
2. How to calculate the LCM of 208, 321, 358, 492, 362?
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 208, 321, 358, 492, 362.
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}.