LCM of 298, 324, 371, 396, 106
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 324, 371, 396, 106 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 298, 324, 371, 396, 106. So, keep reading to learn more.
Given numbers are 298,324,371,396,106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,324,371,396,106 is 197014356.
Find LCM of 298,324,371,396,106 with Prime Factorization
| 2 | 298, 324, 371, 396, 106 |
| 2 | 149, 162, 371, 198, 53 |
| 3 | 149, 81, 371, 99, 53 |
| 3 | 149, 27, 371, 33, 53 |
| 53 | 149, 9, 371, 11, 53 |
| 149, 9, 7, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 53 x 149 x 9 x 7 x 11 x 1 = 197014356
Therefore, the lowest common multiple of 298,324,371,396,106 is 197014356.
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.
298 x 324 x 371 x 396 x 106 = 1503613564992
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.
298 : 1, 2, 149, 298
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
371 : 1, 7, 53, 371
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
106 : 1, 2, 53, 106
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,324,371,396,106, is 1.
Now, the common factors can be found like this.
298:2x 149
324:2x 2x 3x 3x 3x 3
371:7x 53
396:2x 2x 3x 3x 11
106:2x 53
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 2x 3x 3x 53 = 7632
Therefore, the value for common factors is 7632.
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 = 1503613564992/(1x7632)
LCM = 1503613564992/7632
LCM = 197014356
Thus, we can understand that the LCM of 298,324,371,396,106 is 197014356.
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FAQs on LCM of 298, 324, 371, 396, 106
1. What is the LCM of 298, 324, 371, 396, 106?
Answer: LCM of 298, 324, 371, 396, 106 is 197014356.
2. How to calculate the LCM of 298, 324, 371, 396, 106?
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 298, 324, 371, 396, 106.
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}.