LCM of 199, 209, 222, 520, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 199, 209, 222, 520, 784 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 199, 209, 222, 520, 784. So, keep reading to learn more.
Given numbers are 199,209,222,520,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 199,209,222,520,784 is 235261986960.
Find LCM of 199,209,222,520,784 with Prime Factorization
| 2 | 199, 209, 222, 520, 784 |
| 2 | 199, 209, 111, 260, 392 |
| 2 | 199, 209, 111, 130, 196 |
| 199, 209, 111, 65, 98 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 199 x 209 x 111 x 65 x 98 = 235261986960
Therefore, the lowest common multiple of 199,209,222,520,784 is 235261986960.
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.
199 x 209 x 222 x 520 x 784 = 3764191791360
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.
199 : 1, 199
209 : 1, 11, 19, 209
222 : 1, 2, 3, 6, 37, 74, 111, 222
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,209,222,520,784, is 1.
Now, the common factors can be found like this.
199:199
209:11x 19
222:2x 3x 37
520:2x 2x 2x 5x 13
784:2x 2x 2x 2x 7x 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 2x 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 3764191791360/(1x16)
LCM = 3764191791360/16
LCM = 235261986960
Thus, we can understand that the LCM of 199,209,222,520,784 is 235261986960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 199, 209, 222, 520, 784
1. What is the LCM of 199, 209, 222, 520, 784?
Answer: LCM of 199, 209, 222, 520, 784 is 235261986960.
2. How to calculate the LCM of 199, 209, 222, 520, 784?
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 199, 209, 222, 520, 784.
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}.