LCM of 546, 104, 225, 110, 485
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 104, 225, 110, 485 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 546, 104, 225, 110, 485. So, keep reading to learn more.
Given numbers are 546,104,225,110,485
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,104,225,110,485 is 174774600.
Find LCM of 546,104,225,110,485 with Prime Factorization
| 2 | 546, 104, 225, 110, 485 |
| 3 | 273, 52, 225, 55, 485 |
| 5 | 91, 52, 75, 55, 485 |
| 13 | 91, 52, 15, 11, 97 |
| 7, 4, 15, 11, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 7 x 4 x 15 x 11 x 97 = 174774600
Therefore, the lowest common multiple of 546,104,225,110,485 is 174774600.
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.
546 x 104 x 225 x 110 x 485 = 681620940000
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
104 : 1, 2, 4, 8, 13, 26, 52, 104
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
110 : 1, 2, 5, 10, 11, 22, 55, 110
485 : 1, 5, 97, 485
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,104,225,110,485, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
104:2x 2x 2x 13
225:3x 3x 5x 5
110:2x 5x 11
485:5x 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 5x 5x 13 = 3900
Therefore, the value for common factors is 3900.
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 = 681620940000/(1x3900)
LCM = 681620940000/3900
LCM = 174774600
Thus, we can understand that the LCM of 546,104,225,110,485 is 174774600.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 546, 104, 225, 110, 485
1. What is the LCM of 546, 104, 225, 110, 485?
Answer: LCM of 546, 104, 225, 110, 485 is 174774600.
2. How to calculate the LCM of 546, 104, 225, 110, 485?
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 546, 104, 225, 110, 485.
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}.