Find the LCM of 400, 896, 332, 361, 249 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, 896, 332, 361, 249. So, keep reading to learn more.
Given numbers are 400,896,332,361,249
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 400,896,332,361,249 is 2013513600.
Find LCM of 400,896,332,361,249 with Prime Factorization
2 | 400, 896, 332, 361, 249 |
2 | 200, 448, 166, 361, 249 |
2 | 100, 224, 83, 361, 249 |
2 | 50, 112, 83, 361, 249 |
83 | 25, 56, 83, 361, 249 |
25, 56, 1, 361, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 83 x 25 x 56 x 1 x 361 x 3 = 2013513600
Therefore, the lowest common multiple of 400,896,332,361,249 is 2013513600.
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 896 x 332 x 361 x 249 = 10695784243200
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
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
332 : 1, 2, 4, 83, 166, 332
361 : 1, 19, 361
249 : 1, 3, 83, 249
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,896,332,361,249, is 1.
Now, the common factors can be found like this.
400:2x 2x 2x 2x 5x 5
896:2x 2x 2x 2x 2x 2x 2x 7
332:2x 2x 83
361:19x 19
249:3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 83 = 5312
Therefore, the value for common factors is 5312.
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 = 10695784243200/(1x5312)
LCM = 10695784243200/5312
LCM = 2013513600
Thus, we can understand that the LCM of 400,896,332,361,249 is 2013513600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 400, 896, 332, 361, 249?
Answer: LCM of 400, 896, 332, 361, 249 is 2013513600.
2. How to calculate the LCM of 400, 896, 332, 361, 249?
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, 896, 332, 361, 249.
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}.