LCM of 493, 164, 218, 117, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 164, 218, 117, 442 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 493, 164, 218, 117, 442. So, keep reading to learn more.
Given numbers are 493,164,218,117,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,164,218,117,442 is 1031105556.
Find LCM of 493,164,218,117,442 with Prime Factorization
| 2 | 493, 164, 218, 117, 442 |
| 13 | 493, 82, 109, 117, 221 |
| 17 | 493, 82, 109, 9, 17 |
| 29, 82, 109, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 29 x 82 x 109 x 9 x 1 = 1031105556
Therefore, the lowest common multiple of 493,164,218,117,442 is 1031105556.
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.
493 x 164 x 218 x 117 x 442 = 911497311504
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.
493 : 1, 17, 29, 493
164 : 1, 2, 4, 41, 82, 164
218 : 1, 2, 109, 218
117 : 1, 3, 9, 13, 39, 117
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,164,218,117,442, is 1.
Now, the common factors can be found like this.
493:17x 29
164:2x 2x 41
218:2x 109
117:3x 3x 13
442:2x 13x 17
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 13x 17 = 884
Therefore, the value for common factors is 884.
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 = 911497311504/(1x884)
LCM = 911497311504/884
LCM = 1031105556
Thus, we can understand that the LCM of 493,164,218,117,442 is 1031105556.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 493, 164, 218, 117, 442
1. What is the LCM of 493, 164, 218, 117, 442?
Answer: LCM of 493, 164, 218, 117, 442 is 1031105556.
2. How to calculate the LCM of 493, 164, 218, 117, 442?
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 493, 164, 218, 117, 442.
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}.