LCM of 303, 546, 497, 174, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 303, 546, 497, 174, 812 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 303, 546, 497, 174, 812. So, keep reading to learn more.
Given numbers are 303,546,497,174,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,546,497,174,812 is 227091228.
Find LCM of 303,546,497,174,812 with Prime Factorization
| 2 | 303, 546, 497, 174, 812 |
| 3 | 303, 273, 497, 87, 406 |
| 7 | 101, 91, 497, 29, 406 |
| 29 | 101, 13, 71, 29, 58 |
| 101, 13, 71, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 29 x 101 x 13 x 71 x 1 x 2 = 227091228
Therefore, the lowest common multiple of 303,546,497,174,812 is 227091228.
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.
303 x 546 x 497 x 174 x 812 = 11617078859568
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.
303 : 1, 3, 101, 303
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
497 : 1, 7, 71, 497
174 : 1, 2, 3, 6, 29, 58, 87, 174
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,546,497,174,812, is 1.
Now, the common factors can be found like this.
303:3x 101
546:2x 3x 7x 13
497:7x 71
174:2x 3x 29
812:2x 2x 7x 29
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 3x 7x 7x 29 = 51156
Therefore, the value for common factors is 51156.
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 = 11617078859568/(1x51156)
LCM = 11617078859568/51156
LCM = 227091228
Thus, we can understand that the LCM of 303,546,497,174,812 is 227091228.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 303, 546, 497, 174, 812
1. What is the LCM of 303, 546, 497, 174, 812?
Answer: LCM of 303, 546, 497, 174, 812 is 227091228.
2. How to calculate the LCM of 303, 546, 497, 174, 812?
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 303, 546, 497, 174, 812.
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}.