Find the LCM of 479, 484, 110, 405, 761 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 479, 484, 110, 405, 761. So, keep reading to learn more.
Given numbers are 479,484,110,405,761
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,484,110,405,761 is 71453014380.
Find LCM of 479,484,110,405,761 with Prime Factorization
2 | 479, 484, 110, 405, 761 |
5 | 479, 242, 55, 405, 761 |
11 | 479, 242, 11, 81, 761 |
479, 22, 1, 81, 761 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 479 x 22 x 1 x 81 x 761 = 71453014380
Therefore, the lowest common multiple of 479,484,110,405,761 is 71453014380.
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.
479 x 484 x 110 x 405 x 761 = 7859831581800
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.
479 : 1, 479
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
110 : 1, 2, 5, 10, 11, 22, 55, 110
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
761 : 1, 761
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,484,110,405,761, is 1.
Now, the common factors can be found like this.
479:479
484:2x 2x 11x 11
110:2x 5x 11
405:3x 3x 3x 3x 5
761:761
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 7859831581800/(1x110)
LCM = 7859831581800/110
LCM = 71453014380
Thus, we can understand that the LCM of 479,484,110,405,761 is 71453014380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 479, 484, 110, 405, 761?
Answer: LCM of 479, 484, 110, 405, 761 is 71453014380.
2. How to calculate the LCM of 479, 484, 110, 405, 761?
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 479, 484, 110, 405, 761.
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}.