Find the LCM of 210, 694, 895, 900, 720 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 210, 694, 895, 900, 720. So, keep reading to learn more.
Given numbers are 210,694,895,900,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,694,895,900,720 is 1565247600.
Find LCM of 210,694,895,900,720 with Prime Factorization
2 | 210, 694, 895, 900, 720 |
2 | 105, 347, 895, 450, 360 |
3 | 105, 347, 895, 225, 180 |
3 | 35, 347, 895, 75, 60 |
5 | 35, 347, 895, 25, 20 |
7, 347, 179, 5, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 347 x 179 x 5 x 4 = 1565247600
Therefore, the lowest common multiple of 210,694,895,900,720 is 1565247600.
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.
210 x 694 x 895 x 900 x 720 = 84523370400000
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
694 : 1, 2, 347, 694
895 : 1, 5, 179, 895
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,694,895,900,720, is 1.
Now, the common factors can be found like this.
210:2x 3x 5x 7
694:2x 347
895:5x 179
900:2x 2x 3x 3x 5x 5
720:2x 2x 2x 2x 3x 3x 5
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 3x 3x 3x 5x 5x 5 = 54000
Therefore, the value for common factors is 54000.
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 = 84523370400000/(1x54000)
LCM = 84523370400000/54000
LCM = 1565247600
Thus, we can understand that the LCM of 210,694,895,900,720 is 1565247600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 210, 694, 895, 900, 720?
Answer: LCM of 210, 694, 895, 900, 720 is 1565247600.
2. How to calculate the LCM of 210, 694, 895, 900, 720?
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 210, 694, 895, 900, 720.
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}.