LCM of 212, 221, 306, 727
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 212, 221, 306, 727 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 212, 221, 306, 727. So, keep reading to learn more.
Given numbers are 212,221,306,727
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 212,221,306,727 is 306552636.
Find LCM of 212,221,306,727 with Prime Factorization
| 2 | 212, 221, 306, 727 |
| 17 | 106, 221, 153, 727 |
| 106, 13, 9, 727 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 106 x 13 x 9 x 727 = 306552636
Therefore, the lowest common multiple of 212,221,306,727 is 306552636.
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.
212 x 221 x 306 x 727 = 10422789624
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.
212 : 1, 2, 4, 53, 106, 212
221 : 1, 13, 17, 221
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
727 : 1, 727
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,221,306,727, is 1.
Now, the common factors can be found like this.
212:2x 2x 53
221:13x 17
306:2x 3x 3x 17
727:727
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 10422789624/(1x34)
LCM = 10422789624/34
LCM = 306552636
Thus, we can understand that the LCM of 212,221,306,727 is 306552636.
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FAQs on LCM of 212, 221, 306, 727
1. What is the LCM of 212, 221, 306, 727?
Answer: LCM of 212, 221, 306, 727 is 306552636.
2. How to calculate the LCM of 212, 221, 306, 727?
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 212, 221, 306, 727.
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}.