Find the LCM of 429, 540, 923, 434 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, 540, 923, 434. So, keep reading to learn more.
Given numbers are 429,540,923,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,540,923,434 is 1189728540.
Find LCM of 429,540,923,434 with Prime Factorization
2 | 429, 540, 923, 434 |
3 | 429, 270, 923, 217 |
13 | 143, 90, 923, 217 |
11, 90, 71, 217 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 11 x 90 x 71 x 217 = 1189728540
Therefore, the lowest common multiple of 429,540,923,434 is 1189728540.
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 540 x 923 x 434 = 92798826120
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
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
923 : 1, 13, 71, 923
434 : 1, 2, 7, 14, 31, 62, 217, 434
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,540,923,434, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
540:2x 2x 3x 3x 3x 5
923:13x 71
434:2x 7x 31
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 13 = 78
Therefore, the value for common factors is 78.
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 = 92798826120/(1x78)
LCM = 92798826120/78
LCM = 1189728540
Thus, we can understand that the LCM of 429,540,923,434 is 1189728540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 429, 540, 923, 434?
Answer: LCM of 429, 540, 923, 434 is 1189728540.
2. How to calculate the LCM of 429, 540, 923, 434?
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, 540, 923, 434.
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}.