Find the LCM of 896, 209, 875, 500, 314 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 896, 209, 875, 500, 314. So, keep reading to learn more.
Given numbers are 896,209,875,500,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,209,875,500,314 is 3675056000.
Find LCM of 896,209,875,500,314 with Prime Factorization
2 | 896, 209, 875, 500, 314 |
2 | 448, 209, 875, 250, 157 |
5 | 224, 209, 875, 125, 157 |
5 | 224, 209, 175, 25, 157 |
5 | 224, 209, 35, 5, 157 |
7 | 224, 209, 7, 1, 157 |
32, 209, 1, 1, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 5 x 7 x 32 x 209 x 1 x 1 x 157 = 3675056000
Therefore, the lowest common multiple of 896,209,875,500,314 is 3675056000.
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.
896 x 209 x 875 x 500 x 314 = 25725392000000
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.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
209 : 1, 11, 19, 209
875 : 1, 5, 7, 25, 35, 125, 175, 875
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,209,875,500,314, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
209:11x 19
875:5x 5x 5x 7
500:2x 2x 5x 5x 5
314:2x 157
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 5x 5x 5x 7 = 7000
Therefore, the value for common factors is 7000.
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 = 25725392000000/(1x7000)
LCM = 25725392000000/7000
LCM = 3675056000
Thus, we can understand that the LCM of 896,209,875,500,314 is 3675056000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 896, 209, 875, 500, 314?
Answer: LCM of 896, 209, 875, 500, 314 is 3675056000.
2. How to calculate the LCM of 896, 209, 875, 500, 314?
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 896, 209, 875, 500, 314.
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}.