LCM of 649, 242, 561, 726
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 242, 561, 726 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 649, 242, 561, 726. So, keep reading to learn more.
Given numbers are 649,242,561,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,242,561,726 is 728178.
Find LCM of 649,242,561,726 with Prime Factorization
| 2 | 649, 242, 561, 726 |
| 3 | 649, 121, 561, 363 |
| 11 | 649, 121, 187, 121 |
| 11 | 59, 11, 17, 11 |
| 59, 1, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 11 x 59 x 1 x 17 x 1 = 728178
Therefore, the lowest common multiple of 649,242,561,726 is 728178.
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.
649 x 242 x 561 x 726 = 63967524588
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.
649 : 1, 11, 59, 649
242 : 1, 2, 11, 22, 121, 242
561 : 1, 3, 11, 17, 33, 51, 187, 561
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,242,561,726, is 11.
Now, the common factors can be found like this.
649:11x 59
242:2x 11x 11
561:3x 11x 17
726:2x 3x 11x 11
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 11x 11x 11 = 7986
Therefore, the value for common factors is 7986.
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 = 63967524588/(11x7986)
LCM = 63967524588/87846
LCM = 728178
Thus, we can understand that the LCM of 649,242,561,726 is 728178.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 649, 242, 561, 726
1. What is the LCM of 649, 242, 561, 726?
Answer: LCM of 649, 242, 561, 726 is 728178.
2. How to calculate the LCM of 649, 242, 561, 726?
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 649, 242, 561, 726.
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}.