LCM of 313, 609, 986, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 313, 609, 986, 442 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 313, 609, 986, 442. So, keep reading to learn more.
Given numbers are 313,609,986,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,609,986,442 is 84252714.
Find LCM of 313,609,986,442 with Prime Factorization
| 2 | 313, 609, 986, 442 |
| 17 | 313, 609, 493, 221 |
| 29 | 313, 609, 29, 13 |
| 313, 21, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 29 x 313 x 21 x 1 x 13 = 84252714
Therefore, the lowest common multiple of 313,609,986,442 is 84252714.
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.
313 x 609 x 986 x 442 = 83073176004
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.
313 : 1, 313
609 : 1, 3, 7, 21, 29, 87, 203, 609
986 : 1, 2, 17, 29, 34, 58, 493, 986
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,609,986,442, is 1.
Now, the common factors can be found like this.
313:313
609:3x 7x 29
986:2x 17x 29
442:2x 13x 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 17x 29 = 986
Therefore, the value for common factors is 986.
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 = 83073176004/(1x986)
LCM = 83073176004/986
LCM = 84252714
Thus, we can understand that the LCM of 313,609,986,442 is 84252714.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 313, 609, 986, 442
1. What is the LCM of 313, 609, 986, 442?
Answer: LCM of 313, 609, 986, 442 is 84252714.
2. How to calculate the LCM of 313, 609, 986, 442?
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 313, 609, 986, 442.
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}.