LCM of 492, 403, 598, 164
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 492, 403, 598, 164 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 492, 403, 598, 164. So, keep reading to learn more.
Given numbers are 492,403,598,164
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,403,598,164 is 4560348.
Find LCM of 492,403,598,164 with Prime Factorization
| 2 | 492, 403, 598, 164 |
| 2 | 246, 403, 299, 82 |
| 13 | 123, 403, 299, 41 |
| 41 | 123, 31, 23, 41 |
| 3, 31, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 41 x 3 x 31 x 23 x 1 = 4560348
Therefore, the lowest common multiple of 492,403,598,164 is 4560348.
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.
492 x 403 x 598 x 164 = 19445323872
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
403 : 1, 13, 31, 403
598 : 1, 2, 13, 23, 26, 46, 299, 598
164 : 1, 2, 4, 41, 82, 164
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,403,598,164, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
403:13x 31
598:2x 13x 23
164:2x 2x 41
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 13x 41 = 4264
Therefore, the value for common factors is 4264.
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 = 19445323872/(1x4264)
LCM = 19445323872/4264
LCM = 4560348
Thus, we can understand that the LCM of 492,403,598,164 is 4560348.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 492, 403, 598, 164
1. What is the LCM of 492, 403, 598, 164?
Answer: LCM of 492, 403, 598, 164 is 4560348.
2. How to calculate the LCM of 492, 403, 598, 164?
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 492, 403, 598, 164.
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}.