LCM of 306, 806, 394, 702, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 306, 806, 394, 702, 279 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 306, 806, 394, 702, 279. So, keep reading to learn more.
Given numbers are 306,806,394,702,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 306,806,394,702,279 is 72880938.
Find LCM of 306,806,394,702,279 with Prime Factorization
| 2 | 306, 806, 394, 702, 279 |
| 3 | 153, 403, 197, 351, 279 |
| 3 | 51, 403, 197, 117, 93 |
| 13 | 17, 403, 197, 39, 31 |
| 31 | 17, 31, 197, 3, 31 |
| 17, 1, 197, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 31 x 17 x 1 x 197 x 3 x 1 = 72880938
Therefore, the lowest common multiple of 306,806,394,702,279 is 72880938.
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.
306 x 806 x 394 x 702 x 279 = 19032419673072
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.
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
806 : 1, 2, 13, 26, 31, 62, 403, 806
394 : 1, 2, 197, 394
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,806,394,702,279, is 1.
Now, the common factors can be found like this.
306:2x 3x 3x 17
806:2x 13x 31
394:2x 197
702:2x 3x 3x 3x 13
279:3x 3x 31
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 2x 3x 3x 3x 3x 13x 31 = 261144
Therefore, the value for common factors is 261144.
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 = 19032419673072/(1x261144)
LCM = 19032419673072/261144
LCM = 72880938
Thus, we can understand that the LCM of 306,806,394,702,279 is 72880938.
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FAQs on LCM of 306, 806, 394, 702, 279
1. What is the LCM of 306, 806, 394, 702, 279?
Answer: LCM of 306, 806, 394, 702, 279 is 72880938.
2. How to calculate the LCM of 306, 806, 394, 702, 279?
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 306, 806, 394, 702, 279.
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}.