LCM of 179, 195, 416, 492
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 179, 195, 416, 492 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 179, 195, 416, 492. So, keep reading to learn more.
Given numbers are 179,195,416,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 179,195,416,492 is 45795360.
Find LCM of 179,195,416,492 with Prime Factorization
| 2 | 179, 195, 416, 492 |
| 2 | 179, 195, 208, 246 |
| 3 | 179, 195, 104, 123 |
| 13 | 179, 65, 104, 41 |
| 179, 5, 8, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 179 x 5 x 8 x 41 = 45795360
Therefore, the lowest common multiple of 179,195,416,492 is 45795360.
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.
179 x 195 x 416 x 492 = 7144076160
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.
179 : 1, 179
195 : 1, 3, 5, 13, 15, 39, 65, 195
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 179,195,416,492, is 1.
Now, the common factors can be found like this.
179:179
195:3x 5x 13
416:2x 2x 2x 2x 2x 13
492:2x 2x 3x 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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 7144076160/(1x156)
LCM = 7144076160/156
LCM = 45795360
Thus, we can understand that the LCM of 179,195,416,492 is 45795360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 179, 195, 416, 492
1. What is the LCM of 179, 195, 416, 492?
Answer: LCM of 179, 195, 416, 492 is 45795360.
2. How to calculate the LCM of 179, 195, 416, 492?
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 179, 195, 416, 492.
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}.