LCM of 306, 363, 289, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 306, 363, 289, 407 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, 363, 289, 407. So, keep reading to learn more.
Given numbers are 306,363,289,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 306,363,289,407 is 23289354.
Find LCM of 306,363,289,407 with Prime Factorization
| 3 | 306, 363, 289, 407 |
| 11 | 102, 121, 289, 407 |
| 17 | 102, 11, 289, 37 |
| 6, 11, 17, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 17 x 6 x 11 x 17 x 37 = 23289354
Therefore, the lowest common multiple of 306,363,289,407 is 23289354.
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 363 x 289 x 407 = 13065327594
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
363 : 1, 3, 11, 33, 121, 363
289 : 1, 17, 289
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,363,289,407, is 1.
Now, the common factors can be found like this.
306:2x 3x 3x 17
363:3x 11x 11
289:17x 17
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 17 = 561
Therefore, the value for common factors is 561.
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 = 13065327594/(1x561)
LCM = 13065327594/561
LCM = 23289354
Thus, we can understand that the LCM of 306,363,289,407 is 23289354.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 306, 363, 289, 407
1. What is the LCM of 306, 363, 289, 407?
Answer: LCM of 306, 363, 289, 407 is 23289354.
2. How to calculate the LCM of 306, 363, 289, 407?
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, 363, 289, 407.
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}.