LCM of 429, 520, 338, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 520, 338, 756 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 429, 520, 338, 756. So, keep reading to learn more.
Given numbers are 429,520,338,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,520,338,756 is 14054040.
Find LCM of 429,520,338,756 with Prime Factorization
| 2 | 429, 520, 338, 756 |
| 2 | 429, 260, 169, 378 |
| 3 | 429, 130, 169, 189 |
| 13 | 143, 130, 169, 63 |
| 11, 10, 13, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 11 x 10 x 13 x 63 = 14054040
Therefore, the lowest common multiple of 429,520,338,756 is 14054040.
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.
429 x 520 x 338 x 756 = 57003186240
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
338 : 1, 2, 13, 26, 169, 338
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,520,338,756, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
520:2x 2x 2x 5x 13
338:2x 13x 13
756:2x 2x 3x 3x 3x 7
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 2x 3x 13x 13 = 4056
Therefore, the value for common factors is 4056.
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 = 57003186240/(1x4056)
LCM = 57003186240/4056
LCM = 14054040
Thus, we can understand that the LCM of 429,520,338,756 is 14054040.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 429, 520, 338, 756
1. What is the LCM of 429, 520, 338, 756?
Answer: LCM of 429, 520, 338, 756 is 14054040.
2. How to calculate the LCM of 429, 520, 338, 756?
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 429, 520, 338, 756.
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}.