LCM of 606, 714, 243, 153, 409
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 714, 243, 153, 409 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 606, 714, 243, 153, 409. So, keep reading to learn more.
Given numbers are 606,714,243,153,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,714,243,153,409 is 2389064706.
Find LCM of 606,714,243,153,409 with Prime Factorization
| 2 | 606, 714, 243, 153, 409 |
| 3 | 303, 357, 243, 153, 409 |
| 3 | 101, 119, 81, 51, 409 |
| 17 | 101, 119, 27, 17, 409 |
| 101, 7, 27, 1, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 101 x 7 x 27 x 1 x 409 = 2389064706
Therefore, the lowest common multiple of 606,714,243,153,409 is 2389064706.
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.
606 x 714 x 243 x 153 x 409 = 6579484200324
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
243 : 1, 3, 9, 27, 81, 243
153 : 1, 3, 9, 17, 51, 153
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,714,243,153,409, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
714:2x 3x 7x 17
243:3x 3x 3x 3x 3
153:3x 3x 17
409:409
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 3x 3x 17 = 2754
Therefore, the value for common factors is 2754.
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 = 6579484200324/(1x2754)
LCM = 6579484200324/2754
LCM = 2389064706
Thus, we can understand that the LCM of 606,714,243,153,409 is 2389064706.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 606, 714, 243, 153, 409
1. What is the LCM of 606, 714, 243, 153, 409?
Answer: LCM of 606, 714, 243, 153, 409 is 2389064706.
2. How to calculate the LCM of 606, 714, 243, 153, 409?
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 606, 714, 243, 153, 409.
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}.