LCM of 218, 318, 326, 588
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 318, 326, 588 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 218, 318, 326, 588. So, keep reading to learn more.
Given numbers are 218,318,326,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,318,326,588 is 553690788.
Find LCM of 218,318,326,588 with Prime Factorization
| 2 | 218, 318, 326, 588 |
| 3 | 109, 159, 163, 294 |
| 109, 53, 163, 98 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 109 x 53 x 163 x 98 = 553690788
Therefore, the lowest common multiple of 218,318,326,588 is 553690788.
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.
218 x 318 x 326 x 588 = 13288578912
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.
218 : 1, 2, 109, 218
318 : 1, 2, 3, 6, 53, 106, 159, 318
326 : 1, 2, 163, 326
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,318,326,588, is 2.
Now, the common factors can be found like this.
218:2x 109
318:2x 3x 53
326:2x 163
588:2x 2x 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 3 = 12
Therefore, the value for common factors is 12.
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 = 13288578912/(2x12)
LCM = 13288578912/24
LCM = 553690788
Thus, we can understand that the LCM of 218,318,326,588 is 553690788.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 218, 318, 326, 588
1. What is the LCM of 218, 318, 326, 588?
Answer: LCM of 218, 318, 326, 588 is 553690788.
2. How to calculate the LCM of 218, 318, 326, 588?
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 218, 318, 326, 588.
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}.