LCM of 736, 443, 460, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 443, 460, 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 736, 443, 460, 765. So, keep reading to learn more.
Given numbers are 736,443,460,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,443,460,765 is 249426720.
Find LCM of 736,443,460,765 with Prime Factorization
| 2 | 736, 443, 460, 765 |
| 2 | 368, 443, 230, 765 |
| 5 | 184, 443, 115, 765 |
| 23 | 184, 443, 23, 153 |
| 8, 443, 1, 153 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 8 x 443 x 1 x 153 = 249426720
Therefore, the lowest common multiple of 736,443,460,765 is 249426720.
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.
736 x 443 x 460 x 765 = 114736291200
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
443 : 1, 443
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
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 736,443,460,765, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
443:443
460:2x 2x 5x 23
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 2x 5x 23 = 460
Therefore, the value for common factors is 460.
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 = 114736291200/(1x460)
LCM = 114736291200/460
LCM = 249426720
Thus, we can understand that the LCM of 736,443,460,765 is 249426720.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 736, 443, 460, 765
1. What is the LCM of 736, 443, 460, 765?
Answer: LCM of 736, 443, 460, 765 is 249426720.
2. How to calculate the LCM of 736, 443, 460, 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 736, 443, 460, 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}.