LCM of 443, 973, 102, 765, 880
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 443, 973, 102, 765, 880 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 443, 973, 102, 765, 880. So, keep reading to learn more.
Given numbers are 443,973,102,765,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 443,973,102,765,880 is 58035090960.
Find LCM of 443,973,102,765,880 with Prime Factorization
| 2 | 443, 973, 102, 765, 880 |
| 3 | 443, 973, 51, 765, 440 |
| 5 | 443, 973, 17, 255, 440 |
| 17 | 443, 973, 17, 51, 88 |
| 443, 973, 1, 3, 88 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 443 x 973 x 1 x 3 x 88 = 58035090960
Therefore, the lowest common multiple of 443,973,102,765,880 is 58035090960.
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.
443 x 973 x 102 x 765 x 880 = 29597896389600
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.
443 : 1, 443
973 : 1, 7, 139, 973
102 : 1, 2, 3, 6, 17, 34, 51, 102
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,973,102,765,880, is 1.
Now, the common factors can be found like this.
443:443
973:7x 139
102:2x 3x 17
765:3x 3x 5x 17
880:2x 2x 2x 2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 17 = 510
Therefore, the value for common factors is 510.
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 = 29597896389600/(1x510)
LCM = 29597896389600/510
LCM = 58035090960
Thus, we can understand that the LCM of 443,973,102,765,880 is 58035090960.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 443, 973, 102, 765, 880
1. What is the LCM of 443, 973, 102, 765, 880?
Answer: LCM of 443, 973, 102, 765, 880 is 58035090960.
2. How to calculate the LCM of 443, 973, 102, 765, 880?
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 443, 973, 102, 765, 880.
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}.