LCM of 106, 117, 689, 298, 206
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 106, 117, 689, 298, 206 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, 117, 689, 298, 206. So, keep reading to learn more.
Given numbers are 106,117,689,298,206
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 106,117,689,298,206 is 190333494.
Find LCM of 106,117,689,298,206 with Prime Factorization
| 2 | 106, 117, 689, 298, 206 |
| 13 | 53, 117, 689, 149, 103 |
| 53 | 53, 9, 53, 149, 103 |
| 1, 9, 1, 149, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 53 x 1 x 9 x 1 x 149 x 103 = 190333494
Therefore, the lowest common multiple of 106,117,689,298,206 is 190333494.
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 117 x 689 x 298 x 206 = 524559109464
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
117 : 1, 3, 9, 13, 39, 117
689 : 1, 13, 53, 689
298 : 1, 2, 149, 298
206 : 1, 2, 103, 206
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,117,689,298,206, is 1.
Now, the common factors can be found like this.
106:2x 53
117:3x 3x 13
689:13x 53
298:2x 149
206:2x 103
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 13x 53 = 2756
Therefore, the value for common factors is 2756.
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 = 524559109464/(1x2756)
LCM = 524559109464/2756
LCM = 190333494
Thus, we can understand that the LCM of 106,117,689,298,206 is 190333494.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 106, 117, 689, 298, 206
1. What is the LCM of 106, 117, 689, 298, 206?
Answer: LCM of 106, 117, 689, 298, 206 is 190333494.
2. How to calculate the LCM of 106, 117, 689, 298, 206?
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, 117, 689, 298, 206.
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}.