LCM of 416, 668, 190, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 668, 190, 209 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 416, 668, 190, 209. So, keep reading to learn more.
Given numbers are 416,668,190,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,668,190,209 is 72598240.
Find LCM of 416,668,190,209 with Prime Factorization
| 2 | 416, 668, 190, 209 |
| 2 | 208, 334, 95, 209 |
| 19 | 104, 167, 95, 209 |
| 104, 167, 5, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 104 x 167 x 5 x 11 = 72598240
Therefore, the lowest common multiple of 416,668,190,209 is 72598240.
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.
416 x 668 x 190 x 209 = 11034932480
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
668 : 1, 2, 4, 167, 334, 668
190 : 1, 2, 5, 10, 19, 38, 95, 190
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,668,190,209, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
668:2x 2x 167
190:2x 5x 19
209:11x 19
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 19 = 152
Therefore, the value for common factors is 152.
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 = 11034932480/(1x152)
LCM = 11034932480/152
LCM = 72598240
Thus, we can understand that the LCM of 416,668,190,209 is 72598240.
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FAQs on LCM of 416, 668, 190, 209
1. What is the LCM of 416, 668, 190, 209?
Answer: LCM of 416, 668, 190, 209 is 72598240.
2. How to calculate the LCM of 416, 668, 190, 209?
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 416, 668, 190, 209.
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}.