Find the LCM of 427, 407, 943, 330, 945 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 427, 407, 943, 330, 945. So, keep reading to learn more.
Given numbers are 427,407,943,330,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 427,407,943,330,945 is 44248417290.
Find LCM of 427,407,943,330,945 with Prime Factorization
3 | 427, 407, 943, 330, 945 |
5 | 427, 407, 943, 110, 315 |
7 | 427, 407, 943, 22, 63 |
11 | 61, 407, 943, 22, 9 |
61, 37, 943, 2, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 11 x 61 x 37 x 943 x 2 x 9 = 44248417290
Therefore, the lowest common multiple of 427,407,943,330,945 is 44248417290.
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.
427 x 407 x 943 x 330 x 945 = 51106921969950
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.
427 : 1, 7, 61, 427
407 : 1, 11, 37, 407
943 : 1, 23, 41, 943
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,407,943,330,945, is 1.
Now, the common factors can be found like this.
427:7x 61
407:11x 37
943:23x 41
330:2x 3x 5x 11
945:3x 3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 11 = 1155
Therefore, the value for common factors is 1155.
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 = 51106921969950/(1x1155)
LCM = 51106921969950/1155
LCM = 44248417290
Thus, we can understand that the LCM of 427,407,943,330,945 is 44248417290.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 427, 407, 943, 330, 945?
Answer: LCM of 427, 407, 943, 330, 945 is 44248417290.
2. How to calculate the LCM of 427, 407, 943, 330, 945?
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 427, 407, 943, 330, 945.
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}.