LCM of 348, 675, 742, 493, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 348, 675, 742, 493, 180 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 348, 675, 742, 493, 180. So, keep reading to learn more.
Given numbers are 348,675,742,493,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,675,742,493,180 is 493838100.
Find LCM of 348,675,742,493,180 with Prime Factorization
| 2 | 348, 675, 742, 493, 180 |
| 2 | 174, 675, 371, 493, 90 |
| 3 | 87, 675, 371, 493, 45 |
| 3 | 29, 225, 371, 493, 15 |
| 5 | 29, 75, 371, 493, 5 |
| 29 | 29, 15, 371, 493, 1 |
| 1, 15, 371, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 29 x 1 x 15 x 371 x 17 x 1 = 493838100
Therefore, the lowest common multiple of 348,675,742,493,180 is 493838100.
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.
348 x 675 x 742 x 493 x 180 = 15467009292000
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
742 : 1, 2, 7, 14, 53, 106, 371, 742
493 : 1, 17, 29, 493
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,675,742,493,180, is 1.
Now, the common factors can be found like this.
348:2x 2x 3x 29
675:3x 3x 3x 5x 5
742:2x 7x 53
493:17x 29
180:2x 2x 3x 3x 5
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 3x 3x 3x 5x 29 = 31320
Therefore, the value for common factors is 31320.
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 = 15467009292000/(1x31320)
LCM = 15467009292000/31320
LCM = 493838100
Thus, we can understand that the LCM of 348,675,742,493,180 is 493838100.
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FAQs on LCM of 348, 675, 742, 493, 180
1. What is the LCM of 348, 675, 742, 493, 180?
Answer: LCM of 348, 675, 742, 493, 180 is 493838100.
2. How to calculate the LCM of 348, 675, 742, 493, 180?
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 348, 675, 742, 493, 180.
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}.