LCM of 935, 216, 209, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 216, 209, 900 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 935, 216, 209, 900. So, keep reading to learn more.
Given numbers are 935,216,209,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,216,209,900 is 19186200.
Find LCM of 935,216,209,900 with Prime Factorization
| 2 | 935, 216, 209, 900 |
| 2 | 935, 108, 209, 450 |
| 3 | 935, 54, 209, 225 |
| 3 | 935, 18, 209, 75 |
| 5 | 935, 6, 209, 25 |
| 11 | 187, 6, 209, 5 |
| 17, 6, 19, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 11 x 17 x 6 x 19 x 5 = 19186200
Therefore, the lowest common multiple of 935,216,209,900 is 19186200.
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.
935 x 216 x 209 x 900 = 37988676000
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
209 : 1, 11, 19, 209
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,216,209,900, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
216:2x 2x 2x 3x 3x 3
209:11x 19
900:2x 2x 3x 3x 5x 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 3x 3x 5x 11 = 1980
Therefore, the value for common factors is 1980.
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 = 37988676000/(1x1980)
LCM = 37988676000/1980
LCM = 19186200
Thus, we can understand that the LCM of 935,216,209,900 is 19186200.
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FAQs on LCM of 935, 216, 209, 900
1. What is the LCM of 935, 216, 209, 900?
Answer: LCM of 935, 216, 209, 900 is 19186200.
2. How to calculate the LCM of 935, 216, 209, 900?
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 935, 216, 209, 900.
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}.