LCM of 409, 873, 193, 873, 772
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 873, 193, 873, 772 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 409, 873, 193, 873, 772. So, keep reading to learn more.
Given numbers are 409,873,193,873,772
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,873,193,873,772 is 275648004.
Find LCM of 409,873,193,873,772 with Prime Factorization
| 3 | 409, 873, 193, 873, 772 |
| 3 | 409, 291, 193, 291, 772 |
| 97 | 409, 97, 193, 97, 772 |
| 193 | 409, 1, 193, 1, 772 |
| 409, 1, 1, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 97 x 193 x 409 x 1 x 1 x 1 x 4 = 275648004
Therefore, the lowest common multiple of 409,873,193,873,772 is 275648004.
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.
409 x 873 x 193 x 873 x 772 = 46443656545956
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.
409 : 1, 409
873 : 1, 3, 9, 97, 291, 873
193 : 1, 193
873 : 1, 3, 9, 97, 291, 873
772 : 1, 2, 4, 193, 386, 772
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,873,193,873,772, is 1.
Now, the common factors can be found like this.
409:409
873:3x 3x 97
193:193
873:3x 3x 97
772:2x 2x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 97x 193 = 168489
Therefore, the value for common factors is 168489.
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 = 46443656545956/(1x168489)
LCM = 46443656545956/168489
LCM = 275648004
Thus, we can understand that the LCM of 409,873,193,873,772 is 275648004.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 409, 873, 193, 873, 772
1. What is the LCM of 409, 873, 193, 873, 772?
Answer: LCM of 409, 873, 193, 873, 772 is 275648004.
2. How to calculate the LCM of 409, 873, 193, 873, 772?
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 409, 873, 193, 873, 772.
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}.