LCM of 106, 361, 842, 209, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 106, 361, 842, 209, 616 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 106, 361, 842, 209, 616. So, keep reading to learn more.
Given numbers are 106,361,842,209,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 106,361,842,209,616 is 4961875688.
Find LCM of 106,361,842,209,616 with Prime Factorization
| 2 | 106, 361, 842, 209, 616 |
| 11 | 53, 361, 421, 209, 308 |
| 19 | 53, 361, 421, 19, 28 |
| 53, 1, 421, 19, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 53 x 1 x 421 x 19 x 28 = 4961875688
Therefore, the lowest common multiple of 106,361,842,209,616 is 4961875688.
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.
106 x 361 x 842 x 209 x 616 = 4148128075168
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.
106 : 1, 2, 53, 106
361 : 1, 19, 361
842 : 1, 2, 421, 842
209 : 1, 11, 19, 209
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,361,842,209,616, is 1.
Now, the common factors can be found like this.
106:2x 53
361:19x 19
842:2x 421
209:11x 19
616:2x 2x 2x 7x 11
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 11x 19 = 836
Therefore, the value for common factors is 836.
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 = 4148128075168/(1x836)
LCM = 4148128075168/836
LCM = 4961875688
Thus, we can understand that the LCM of 106,361,842,209,616 is 4961875688.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 106, 361, 842, 209, 616
1. What is the LCM of 106, 361, 842, 209, 616?
Answer: LCM of 106, 361, 842, 209, 616 is 4961875688.
2. How to calculate the LCM of 106, 361, 842, 209, 616?
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 106, 361, 842, 209, 616.
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}.