LCM of 741, 404, 466, 627
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 404, 466, 627 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 741, 404, 466, 627. So, keep reading to learn more.
Given numbers are 741,404,466,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,404,466,627 is 767269932.
Find LCM of 741,404,466,627 with Prime Factorization
| 2 | 741, 404, 466, 627 |
| 3 | 741, 202, 233, 627 |
| 19 | 247, 202, 233, 209 |
| 13, 202, 233, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 13 x 202 x 233 x 11 = 767269932
Therefore, the lowest common multiple of 741,404,466,627 is 767269932.
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.
741 x 404 x 466 x 627 = 87468772248
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
404 : 1, 2, 4, 101, 202, 404
466 : 1, 2, 233, 466
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,404,466,627, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
404:2x 2x 101
466:2x 233
627:3x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 19 = 114
Therefore, the value for common factors is 114.
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 = 87468772248/(1x114)
LCM = 87468772248/114
LCM = 767269932
Thus, we can understand that the LCM of 741,404,466,627 is 767269932.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 741, 404, 466, 627
1. What is the LCM of 741, 404, 466, 627?
Answer: LCM of 741, 404, 466, 627 is 767269932.
2. How to calculate the LCM of 741, 404, 466, 627?
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 741, 404, 466, 627.
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}.