LCM of 291, 756, 873, 416, 719
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 291, 756, 873, 416, 719 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 291, 756, 873, 416, 719. So, keep reading to learn more.
Given numbers are 291,756,873,416,719
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 291,756,873,416,719 is 5483473632.
Find LCM of 291,756,873,416,719 with Prime Factorization
| 2 | 291, 756, 873, 416, 719 |
| 2 | 291, 378, 873, 208, 719 |
| 3 | 291, 189, 873, 104, 719 |
| 3 | 97, 63, 291, 104, 719 |
| 97 | 97, 21, 97, 104, 719 |
| 1, 21, 1, 104, 719 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 97 x 1 x 21 x 1 x 104 x 719 = 5483473632
Therefore, the lowest common multiple of 291,756,873,416,719 is 5483473632.
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.
291 x 756 x 873 x 416 x 719 = 57444869768832
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.
291 : 1, 3, 97, 291
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
873 : 1, 3, 9, 97, 291, 873
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
719 : 1, 719
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,756,873,416,719, is 1.
Now, the common factors can be found like this.
291:3x 97
756:2x 2x 3x 3x 3x 7
873:3x 3x 97
416:2x 2x 2x 2x 2x 13
719:719
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 3x 3x 3x 97 = 10476
Therefore, the value for common factors is 10476.
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 = 57444869768832/(1x10476)
LCM = 57444869768832/10476
LCM = 5483473632
Thus, we can understand that the LCM of 291,756,873,416,719 is 5483473632.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 291, 756, 873, 416, 719
1. What is the LCM of 291, 756, 873, 416, 719?
Answer: LCM of 291, 756, 873, 416, 719 is 5483473632.
2. How to calculate the LCM of 291, 756, 873, 416, 719?
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 291, 756, 873, 416, 719.
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}.