LCM of 206, 654, 284, 149, 711
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 206, 654, 284, 149, 711 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 206, 654, 284, 149, 711. So, keep reading to learn more.
Given numbers are 206,654,284,149,711
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 206,654,284,149,711 is 337783111452.
Find LCM of 206,654,284,149,711 with Prime Factorization
| 2 | 206, 654, 284, 149, 711 |
| 3 | 103, 327, 142, 149, 711 |
| 103, 109, 142, 149, 237 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 103 x 109 x 142 x 149 x 237 = 337783111452
Therefore, the lowest common multiple of 206,654,284,149,711 is 337783111452.
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.
206 x 654 x 284 x 149 x 711 = 4053397337424
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.
206 : 1, 2, 103, 206
654 : 1, 2, 3, 6, 109, 218, 327, 654
284 : 1, 2, 4, 71, 142, 284
149 : 1, 149
711 : 1, 3, 9, 79, 237, 711
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,654,284,149,711, is 1.
Now, the common factors can be found like this.
206:2x 103
654:2x 3x 109
284:2x 2x 71
149:149
711:3x 3x 79
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 3 = 12
Therefore, the value for common factors is 12.
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 = 4053397337424/(1x12)
LCM = 4053397337424/12
LCM = 337783111452
Thus, we can understand that the LCM of 206,654,284,149,711 is 337783111452.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 206, 654, 284, 149, 711
1. What is the LCM of 206, 654, 284, 149, 711?
Answer: LCM of 206, 654, 284, 149, 711 is 337783111452.
2. How to calculate the LCM of 206, 654, 284, 149, 711?
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 206, 654, 284, 149, 711.
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}.