LCM of 211, 306, 109, 646, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 211, 306, 109, 646, 765 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 211, 306, 109, 646, 765. So, keep reading to learn more.
Given numbers are 211,306,109,646,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 211,306,109,646,765 is 668580930.
Find LCM of 211,306,109,646,765 with Prime Factorization
| 2 | 211, 306, 109, 646, 765 |
| 3 | 211, 153, 109, 323, 765 |
| 3 | 211, 51, 109, 323, 255 |
| 17 | 211, 17, 109, 323, 85 |
| 211, 1, 109, 19, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 211 x 1 x 109 x 19 x 5 = 668580930
Therefore, the lowest common multiple of 211,306,109,646,765 is 668580930.
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.
211 x 306 x 109 x 646 x 765 = 3477957997860
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.
211 : 1, 211
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
109 : 1, 109
646 : 1, 2, 17, 19, 34, 38, 323, 646
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,306,109,646,765, is 1.
Now, the common factors can be found like this.
211:211
306:2x 3x 3x 17
109:109
646:2x 17x 19
765:3x 3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 17x 17 = 5202
Therefore, the value for common factors is 5202.
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 = 3477957997860/(1x5202)
LCM = 3477957997860/5202
LCM = 668580930
Thus, we can understand that the LCM of 211,306,109,646,765 is 668580930.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 211, 306, 109, 646, 765
1. What is the LCM of 211, 306, 109, 646, 765?
Answer: LCM of 211, 306, 109, 646, 765 is 668580930.
2. How to calculate the LCM of 211, 306, 109, 646, 765?
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 211, 306, 109, 646, 765.
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}.