LCM of 709, 646, 221, 247
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 709, 646, 221, 247 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 709, 646, 221, 247. So, keep reading to learn more.
Given numbers are 709,646,221,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,646,221,247 is 5954182.
Find LCM of 709,646,221,247 with Prime Factorization
| 13 | 709, 646, 221, 247 |
| 17 | 709, 646, 17, 19 |
| 19 | 709, 38, 1, 19 |
| 709, 2, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 19 x 709 x 2 x 1 x 1 = 5954182
Therefore, the lowest common multiple of 709,646,221,247 is 5954182.
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.
709 x 646 x 221 x 247 = 25001610218
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.
709 : 1, 709
646 : 1, 2, 17, 19, 34, 38, 323, 646
221 : 1, 13, 17, 221
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,646,221,247, is 1.
Now, the common factors can be found like this.
709:709
646:2x 17x 19
221:13x 17
247:13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17x 19 = 4199
Therefore, the value for common factors is 4199.
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 = 25001610218/(1x4199)
LCM = 25001610218/4199
LCM = 5954182
Thus, we can understand that the LCM of 709,646,221,247 is 5954182.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 709, 646, 221, 247
1. What is the LCM of 709, 646, 221, 247?
Answer: LCM of 709, 646, 221, 247 is 5954182.
2. How to calculate the LCM of 709, 646, 221, 247?
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 709, 646, 221, 247.
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}.