LCM of 546, 633, 177, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 633, 177, 585 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, 633, 177, 585. So, keep reading to learn more.
Given numbers are 546,633,177,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,633,177,585 is 101957310.
Find LCM of 546,633,177,585 with Prime Factorization
| 3 | 546, 633, 177, 585 |
| 13 | 182, 211, 59, 195 |
| 14, 211, 59, 15 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 14 x 211 x 59 x 15 = 101957310
Therefore, the lowest common multiple of 546,633,177,585 is 101957310.
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 633 x 177 x 585 = 35787015810
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
633 : 1, 3, 211, 633
177 : 1, 3, 59, 177
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,633,177,585, is 3.
Now, the common factors can be found like this.
546:2x 3x 7x 13
633:3x 211
177:3x 59
585:3x 3x 5x 13
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 13 = 117
Therefore, the value for common factors is 117.
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 = 35787015810/(3x117)
LCM = 35787015810/351
LCM = 101957310
Thus, we can understand that the LCM of 546,633,177,585 is 101957310.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 546, 633, 177, 585
1. What is the LCM of 546, 633, 177, 585?
Answer: LCM of 546, 633, 177, 585 is 101957310.
2. How to calculate the LCM of 546, 633, 177, 585?
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, 633, 177, 585.
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}.