LCM of 939, 299, 209, 400, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 299, 209, 400, 728 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 939, 299, 209, 400, 728. So, keep reading to learn more.
Given numbers are 939,299,209,400,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,299,209,400,728 is 164301337200.
Find LCM of 939,299,209,400,728 with Prime Factorization
| 2 | 939, 299, 209, 400, 728 |
| 2 | 939, 299, 209, 200, 364 |
| 2 | 939, 299, 209, 100, 182 |
| 13 | 939, 299, 209, 50, 91 |
| 939, 23, 209, 50, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 939 x 23 x 209 x 50 x 7 = 164301337200
Therefore, the lowest common multiple of 939,299,209,400,728 is 164301337200.
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.
939 x 299 x 209 x 400 x 728 = 17087339068800
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.
939 : 1, 3, 313, 939
299 : 1, 13, 23, 299
209 : 1, 11, 19, 209
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,299,209,400,728, is 1.
Now, the common factors can be found like this.
939:3x 313
299:13x 23
209:11x 19
400:2x 2x 2x 2x 5x 5
728:2x 2x 2x 7x 13
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 13 = 104
Therefore, the value for common factors is 104.
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 = 17087339068800/(1x104)
LCM = 17087339068800/104
LCM = 164301337200
Thus, we can understand that the LCM of 939,299,209,400,728 is 164301337200.
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FAQs on LCM of 939, 299, 209, 400, 728
1. What is the LCM of 939, 299, 209, 400, 728?
Answer: LCM of 939, 299, 209, 400, 728 is 164301337200.
2. How to calculate the LCM of 939, 299, 209, 400, 728?
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 939, 299, 209, 400, 728.
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}.