LCM of 291, 388, 949, 596, 873
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 291, 388, 949, 596, 873 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 291, 388, 949, 596, 873. So, keep reading to learn more.
Given numbers are 291,388,949,596,873
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 291,388,949,596,873 is 493772292.
Find LCM of 291,388,949,596,873 with Prime Factorization
| 2 | 291, 388, 949, 596, 873 |
| 2 | 291, 194, 949, 298, 873 |
| 3 | 291, 97, 949, 149, 873 |
| 97 | 97, 97, 949, 149, 291 |
| 1, 1, 949, 149, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 97 x 1 x 1 x 949 x 149 x 3 = 493772292
Therefore, the lowest common multiple of 291,388,949,596,873 is 493772292.
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.
291 x 388 x 949 x 596 x 873 = 55750841945136
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.
291 : 1, 3, 97, 291
388 : 1, 2, 4, 97, 194, 388
949 : 1, 13, 73, 949
596 : 1, 2, 4, 149, 298, 596
873 : 1, 3, 9, 97, 291, 873
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,388,949,596,873, is 1.
Now, the common factors can be found like this.
291:3x 97
388:2x 2x 97
949:13x 73
596:2x 2x 149
873:3x 3x 97
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 3x 97x 97 = 112908
Therefore, the value for common factors is 112908.
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 = 55750841945136/(1x112908)
LCM = 55750841945136/112908
LCM = 493772292
Thus, we can understand that the LCM of 291,388,949,596,873 is 493772292.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 291, 388, 949, 596, 873
1. What is the LCM of 291, 388, 949, 596, 873?
Answer: LCM of 291, 388, 949, 596, 873 is 493772292.
2. How to calculate the LCM of 291, 388, 949, 596, 873?
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 291, 388, 949, 596, 873.
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}.