LCM of 109, 170, 306, 655
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 109, 170, 306, 655 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 109, 170, 306, 655. So, keep reading to learn more.
Given numbers are 109,170,306,655
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 109,170,306,655 is 21846870.
Find LCM of 109,170,306,655 with Prime Factorization
| 2 | 109, 170, 306, 655 |
| 5 | 109, 85, 153, 655 |
| 17 | 109, 17, 153, 131 |
| 109, 1, 9, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 109 x 1 x 9 x 131 = 21846870
Therefore, the lowest common multiple of 109,170,306,655 is 21846870.
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.
109 x 170 x 306 x 655 = 3713967900
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.
109 : 1, 109
170 : 1, 2, 5, 10, 17, 34, 85, 170
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
655 : 1, 5, 131, 655
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,170,306,655, is 1.
Now, the common factors can be found like this.
109:109
170:2x 5x 17
306:2x 3x 3x 17
655:5x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 17 = 170
Therefore, the value for common factors is 170.
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 = 3713967900/(1x170)
LCM = 3713967900/170
LCM = 21846870
Thus, we can understand that the LCM of 109,170,306,655 is 21846870.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 109, 170, 306, 655
1. What is the LCM of 109, 170, 306, 655?
Answer: LCM of 109, 170, 306, 655 is 21846870.
2. How to calculate the LCM of 109, 170, 306, 655?
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 109, 170, 306, 655.
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}.