LCM of 306, 482, 654, 457, 226
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 306, 482, 654, 457, 226 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 306, 482, 654, 457, 226. So, keep reading to learn more.
Given numbers are 306,482,654,457,226
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 306,482,654,457,226 is 415106573274.
Find LCM of 306,482,654,457,226 with Prime Factorization
| 2 | 306, 482, 654, 457, 226 |
| 3 | 153, 241, 327, 457, 113 |
| 51, 241, 109, 457, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 51 x 241 x 109 x 457 x 113 = 415106573274
Therefore, the lowest common multiple of 306,482,654,457,226 is 415106573274.
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.
306 x 482 x 654 x 457 x 226 = 9962557758576
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.
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
482 : 1, 2, 241, 482
654 : 1, 2, 3, 6, 109, 218, 327, 654
457 : 1, 457
226 : 1, 2, 113, 226
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,482,654,457,226, is 1.
Now, the common factors can be found like this.
306:2x 3x 3x 17
482:2x 241
654:2x 3x 109
457:457
226:2x 113
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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 9962557758576/(1x24)
LCM = 9962557758576/24
LCM = 415106573274
Thus, we can understand that the LCM of 306,482,654,457,226 is 415106573274.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 306, 482, 654, 457, 226
1. What is the LCM of 306, 482, 654, 457, 226?
Answer: LCM of 306, 482, 654, 457, 226 is 415106573274.
2. How to calculate the LCM of 306, 482, 654, 457, 226?
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 306, 482, 654, 457, 226.
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}.