LCM of 218, 337, 318, 423, 337
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 337, 318, 423, 337 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, 337, 318, 423, 337. So, keep reading to learn more.
Given numbers are 218,337,318,423,337
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,337,318,423,337 is 1647034254.
Find LCM of 218,337,318,423,337 with Prime Factorization
| 2 | 218, 337, 318, 423, 337 |
| 3 | 109, 337, 159, 423, 337 |
| 337 | 109, 337, 53, 141, 337 |
| 109, 1, 53, 141, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 337 x 109 x 1 x 53 x 141 x 1 = 1647034254
Therefore, the lowest common multiple of 218,337,318,423,337 is 1647034254.
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 337 x 318 x 423 x 337 = 3330303261588
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
337 : 1, 337
318 : 1, 2, 3, 6, 53, 106, 159, 318
423 : 1, 3, 9, 47, 141, 423
337 : 1, 337
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,337,318,423,337, is 1.
Now, the common factors can be found like this.
218:2x 109
337:337
318:2x 3x 53
423:3x 3x 47
337:337
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 337 = 2022
Therefore, the value for common factors is 2022.
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 = 3330303261588/(1x2022)
LCM = 3330303261588/2022
LCM = 1647034254
Thus, we can understand that the LCM of 218,337,318,423,337 is 1647034254.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 218, 337, 318, 423, 337
1. What is the LCM of 218, 337, 318, 423, 337?
Answer: LCM of 218, 337, 318, 423, 337 is 1647034254.
2. How to calculate the LCM of 218, 337, 318, 423, 337?
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, 337, 318, 423, 337.
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}.