LCM of 535, 135, 306, 447
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 135, 306, 447 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 535, 135, 306, 447. So, keep reading to learn more.
Given numbers are 535,135,306,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,135,306,447 is 73178370.
Find LCM of 535,135,306,447 with Prime Factorization
| 3 | 535, 135, 306, 447 |
| 3 | 535, 45, 102, 149 |
| 5 | 535, 15, 34, 149 |
| 107, 3, 34, 149 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 107 x 3 x 34 x 149 = 73178370
Therefore, the lowest common multiple of 535,135,306,447 is 73178370.
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.
535 x 135 x 306 x 447 = 9879079950
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.
535 : 1, 5, 107, 535
135 : 1, 3, 5, 9, 15, 27, 45, 135
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,135,306,447, is 1.
Now, the common factors can be found like this.
535:5x 107
135:3x 3x 3x 5
306:2x 3x 3x 17
447:3x 149
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 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 9879079950/(1x135)
LCM = 9879079950/135
LCM = 73178370
Thus, we can understand that the LCM of 535,135,306,447 is 73178370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 535, 135, 306, 447
1. What is the LCM of 535, 135, 306, 447?
Answer: LCM of 535, 135, 306, 447 is 73178370.
2. How to calculate the LCM of 535, 135, 306, 447?
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 535, 135, 306, 447.
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}.