Find the LCM of 277, 429, 957, 753, 741 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 277, 429, 957, 753, 741. So, keep reading to learn more.
Given numbers are 277,429,957,753,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 277,429,957,753,741 is 16434722733.
Find LCM of 277,429,957,753,741 with Prime Factorization
3 | 277, 429, 957, 753, 741 |
11 | 277, 143, 319, 251, 247 |
13 | 277, 13, 29, 251, 247 |
277, 1, 29, 251, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 277 x 1 x 29 x 251 x 19 = 16434722733
Therefore, the lowest common multiple of 277,429,957,753,741 is 16434722733.
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.
277 x 429 x 957 x 753 x 741 = 63454464472113
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.
277 : 1, 277
429 : 1, 3, 11, 13, 33, 39, 143, 429
957 : 1, 3, 11, 29, 33, 87, 319, 957
753 : 1, 3, 251, 753
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,429,957,753,741, is 1.
Now, the common factors can be found like this.
277:277
429:3x 11x 13
957:3x 11x 29
753:3x 251
741:3x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 11x 13 = 3861
Therefore, the value for common factors is 3861.
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 = 63454464472113/(1x3861)
LCM = 63454464472113/3861
LCM = 16434722733
Thus, we can understand that the LCM of 277,429,957,753,741 is 16434722733.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 277, 429, 957, 753, 741?
Answer: LCM of 277, 429, 957, 753, 741 is 16434722733.
2. How to calculate the LCM of 277, 429, 957, 753, 741?
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 277, 429, 957, 753, 741.
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}.