LCM of 309, 228, 475, 498
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 228, 475, 498 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 309, 228, 475, 498. So, keep reading to learn more.
Given numbers are 309,228,475,498
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,228,475,498 is 48729300.
Find LCM of 309,228,475,498 with Prime Factorization
| 2 | 309, 228, 475, 498 |
| 3 | 309, 114, 475, 249 |
| 19 | 103, 38, 475, 83 |
| 103, 2, 25, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 103 x 2 x 25 x 83 = 48729300
Therefore, the lowest common multiple of 309,228,475,498 is 48729300.
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.
309 x 228 x 475 x 498 = 16665420600
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.
309 : 1, 3, 103, 309
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
475 : 1, 5, 19, 25, 95, 475
498 : 1, 2, 3, 6, 83, 166, 249, 498
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,228,475,498, is 1.
Now, the common factors can be found like this.
309:3x 103
228:2x 2x 3x 19
475:5x 5x 19
498:2x 3x 83
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 3x 19 = 342
Therefore, the value for common factors is 342.
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 = 16665420600/(1x342)
LCM = 16665420600/342
LCM = 48729300
Thus, we can understand that the LCM of 309,228,475,498 is 48729300.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 309, 228, 475, 498
1. What is the LCM of 309, 228, 475, 498?
Answer: LCM of 309, 228, 475, 498 is 48729300.
2. How to calculate the LCM of 309, 228, 475, 498?
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 309, 228, 475, 498.
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}.