LCM of 388, 945, 744, 384, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 388, 945, 744, 384, 198 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 388, 945, 744, 384, 198. So, keep reading to learn more.
Given numbers are 388,945,744,384,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 388,945,744,384,198 is 4000993920.
Find LCM of 388,945,744,384,198 with Prime Factorization
| 2 | 388, 945, 744, 384, 198 |
| 2 | 194, 945, 372, 192, 99 |
| 2 | 97, 945, 186, 96, 99 |
| 3 | 97, 945, 93, 48, 99 |
| 3 | 97, 315, 31, 16, 33 |
| 97, 105, 31, 16, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 97 x 105 x 31 x 16 x 11 = 4000993920
Therefore, the lowest common multiple of 388,945,744,384,198 is 4000993920.
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.
388 x 945 x 744 x 384 x 198 = 20741152481280
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.
388 : 1, 2, 4, 97, 194, 388
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,945,744,384,198, is 1.
Now, the common factors can be found like this.
388:2x 2x 97
945:3x 3x 3x 5x 7
744:2x 2x 2x 3x 31
384:2x 2x 2x 2x 2x 2x 2x 3
198:2x 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 2x 2x 2x 3x 3x 3x 3 = 5184
Therefore, the value for common factors is 5184.
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 = 20741152481280/(1x5184)
LCM = 20741152481280/5184
LCM = 4000993920
Thus, we can understand that the LCM of 388,945,744,384,198 is 4000993920.
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FAQs on LCM of 388, 945, 744, 384, 198
1. What is the LCM of 388, 945, 744, 384, 198?
Answer: LCM of 388, 945, 744, 384, 198 is 4000993920.
2. How to calculate the LCM of 388, 945, 744, 384, 198?
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 388, 945, 744, 384, 198.
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}.