LCM of 313, 661, 765, 675, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 313, 661, 765, 675, 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, 661, 765, 675, 442. So, keep reading to learn more.
Given numbers are 313,661,765,675,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,661,765,675,442 is 61726526550.
Find LCM of 313,661,765,675,442 with Prime Factorization
| 3 | 313, 661, 765, 675, 442 |
| 3 | 313, 661, 255, 225, 442 |
| 5 | 313, 661, 85, 75, 442 |
| 17 | 313, 661, 17, 15, 442 |
| 313, 661, 1, 15, 26 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 17 x 313 x 661 x 1 x 15 x 26 = 61726526550
Therefore, the lowest common multiple of 313,661,765,675,442 is 61726526550.
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 661 x 765 x 675 x 442 = 47220792810750
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
661 : 1, 661
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
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 313,661,765,675,442, is 1.
Now, the common factors can be found like this.
313:313
661:661
765:3x 3x 5x 17
675:3x 3x 3x 5x 5
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.
3x 3x 5x 17 = 765
Therefore, the value for common factors is 765.
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 = 47220792810750/(1x765)
LCM = 47220792810750/765
LCM = 61726526550
Thus, we can understand that the LCM of 313,661,765,675,442 is 61726526550.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 313, 661, 765, 675, 442
1. What is the LCM of 313, 661, 765, 675, 442?
Answer: LCM of 313, 661, 765, 675, 442 is 61726526550.
2. How to calculate the LCM of 313, 661, 765, 675, 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, 661, 765, 675, 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}.