Find the LCM of 414, 545, 276, 503 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 414, 545, 276, 503. So, keep reading to learn more.
Given numbers are 414,545,276,503
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,545,276,503 is 226983780.
Find LCM of 414,545,276,503 with Prime Factorization
2 | 414, 545, 276, 503 |
3 | 207, 545, 138, 503 |
23 | 69, 545, 46, 503 |
3, 545, 2, 503 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 3 x 545 x 2 x 503 = 226983780
Therefore, the lowest common multiple of 414,545,276,503 is 226983780.
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.
414 x 545 x 276 x 503 = 31323761640
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.
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
545 : 1, 5, 109, 545
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
503 : 1, 503
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,545,276,503, is 1.
Now, the common factors can be found like this.
414:2x 3x 3x 23
545:5x 109
276:2x 2x 3x 23
503:503
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 23 = 138
Therefore, the value for common factors is 138.
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 = 31323761640/(1x138)
LCM = 31323761640/138
LCM = 226983780
Thus, we can understand that the LCM of 414,545,276,503 is 226983780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 414, 545, 276, 503?
Answer: LCM of 414, 545, 276, 503 is 226983780.
2. How to calculate the LCM of 414, 545, 276, 503?
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 414, 545, 276, 503.
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}.