Find the LCM of 400, 421, 391, 898, 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 400, 421, 391, 898, 945. So, keep reading to learn more.
Given numbers are 400,421,391,898,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 400,421,391,898,945 is 5587621628400.
Find LCM of 400,421,391,898,945 with Prime Factorization
2 | 400, 421, 391, 898, 945 |
5 | 200, 421, 391, 449, 945 |
40, 421, 391, 449, 189 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 40 x 421 x 391 x 449 x 189 = 5587621628400
Therefore, the lowest common multiple of 400,421,391,898,945 is 5587621628400.
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.
400 x 421 x 391 x 898 x 945 = 55876216284000
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.
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
421 : 1, 421
391 : 1, 17, 23, 391
898 : 1, 2, 449, 898
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 400,421,391,898,945, is 1.
Now, the common factors can be found like this.
400:2x 2x 2x 2x 5x 5
421:421
391:17x 23
898:2x 449
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.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 55876216284000/(1x10)
LCM = 55876216284000/10
LCM = 5587621628400
Thus, we can understand that the LCM of 400,421,391,898,945 is 5587621628400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 400, 421, 391, 898, 945?
Answer: LCM of 400, 421, 391, 898, 945 is 5587621628400.
2. How to calculate the LCM of 400, 421, 391, 898, 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 400, 421, 391, 898, 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}.