LCM of 715, 596, 756, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 596, 756, 429 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 715, 596, 756, 429. So, keep reading to learn more.
Given numbers are 715,596,756,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,596,756,429 is 80540460.
Find LCM of 715,596,756,429 with Prime Factorization
| 2 | 715, 596, 756, 429 |
| 2 | 715, 298, 378, 429 |
| 3 | 715, 149, 189, 429 |
| 11 | 715, 149, 63, 143 |
| 13 | 65, 149, 63, 13 |
| 5, 149, 63, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 5 x 149 x 63 x 1 = 80540460
Therefore, the lowest common multiple of 715,596,756,429 is 80540460.
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.
715 x 596 x 756 x 429 = 138207429360
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
596 : 1, 2, 4, 149, 298, 596
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
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,596,756,429, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
596:2x 2x 149
756:2x 2x 3x 3x 3x 7
429:3x 11x 13
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 11x 13 = 1716
Therefore, the value for common factors is 1716.
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 = 138207429360/(1x1716)
LCM = 138207429360/1716
LCM = 80540460
Thus, we can understand that the LCM of 715,596,756,429 is 80540460.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 715, 596, 756, 429
1. What is the LCM of 715, 596, 756, 429?
Answer: LCM of 715, 596, 756, 429 is 80540460.
2. How to calculate the LCM of 715, 596, 756, 429?
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 715, 596, 756, 429.
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}.