LCM of 198, 939, 316, 297, 396
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 939, 316, 297, 396 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 198, 939, 316, 297, 396. So, keep reading to learn more.
Given numbers are 198,939,316,297,396
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,939,316,297,396 is 29375676.
Find LCM of 198,939,316,297,396 with Prime Factorization
| 2 | 198, 939, 316, 297, 396 |
| 2 | 99, 939, 158, 297, 198 |
| 3 | 99, 939, 79, 297, 99 |
| 3 | 33, 313, 79, 33, 99 |
| 11 | 11, 313, 79, 11, 33 |
| 1, 313, 79, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 1 x 313 x 79 x 1 x 3 = 29375676
Therefore, the lowest common multiple of 198,939,316,297,396 is 29375676.
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.
198 x 939 x 316 x 297 x 396 = 6909864011424
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
939 : 1, 3, 313, 939
316 : 1, 2, 4, 79, 158, 316
297 : 1, 3, 9, 11, 27, 33, 99, 297
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,939,316,297,396, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
939:3x 313
316:2x 2x 79
297:3x 3x 3x 11
396:2x 2x 3x 3x 11
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 3x 3x 11x 11 = 235224
Therefore, the value for common factors is 235224.
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 = 6909864011424/(1x235224)
LCM = 6909864011424/235224
LCM = 29375676
Thus, we can understand that the LCM of 198,939,316,297,396 is 29375676.
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FAQs on LCM of 198, 939, 316, 297, 396
1. What is the LCM of 198, 939, 316, 297, 396?
Answer: LCM of 198, 939, 316, 297, 396 is 29375676.
2. How to calculate the LCM of 198, 939, 316, 297, 396?
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 198, 939, 316, 297, 396.
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}.