Find the LCM of 568, 322, 627, 297, 169 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 568, 322, 627, 297, 169. So, keep reading to learn more.
Given numbers are 568,322,627,297,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 568,322,627,297,169 is 87210939816.
Find LCM of 568,322,627,297,169 with Prime Factorization
2 | 568, 322, 627, 297, 169 |
3 | 284, 161, 627, 297, 169 |
11 | 284, 161, 209, 99, 169 |
284, 161, 19, 9, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 284 x 161 x 19 x 9 x 169 = 87210939816
Therefore, the lowest common multiple of 568,322,627,297,169 is 87210939816.
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.
568 x 322 x 627 x 297 x 169 = 5755922027856
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.
568 : 1, 2, 4, 8, 71, 142, 284, 568
322 : 1, 2, 7, 14, 23, 46, 161, 322
627 : 1, 3, 11, 19, 33, 57, 209, 627
297 : 1, 3, 9, 11, 27, 33, 99, 297
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,322,627,297,169, is 1.
Now, the common factors can be found like this.
568:2x 2x 2x 71
322:2x 7x 23
627:3x 11x 19
297:3x 3x 3x 11
169:13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 5755922027856/(1x66)
LCM = 5755922027856/66
LCM = 87210939816
Thus, we can understand that the LCM of 568,322,627,297,169 is 87210939816.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 568, 322, 627, 297, 169?
Answer: LCM of 568, 322, 627, 297, 169 is 87210939816.
2. How to calculate the LCM of 568, 322, 627, 297, 169?
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 568, 322, 627, 297, 169.
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}.