LCM of 443, 375, 450, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 443, 375, 450, 110 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, 375, 450, 110. So, keep reading to learn more.
Given numbers are 443,375,450,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 443,375,450,110 is 10964250.
Find LCM of 443,375,450,110 with Prime Factorization
| 2 | 443, 375, 450, 110 |
| 3 | 443, 375, 225, 55 |
| 5 | 443, 125, 75, 55 |
| 5 | 443, 25, 15, 11 |
| 443, 5, 3, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 443 x 5 x 3 x 11 = 10964250
Therefore, the lowest common multiple of 443,375,450,110 is 10964250.
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 375 x 450 x 110 = 8223187500
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
375 : 1, 3, 5, 15, 25, 75, 125, 375
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,375,450,110, is 1.
Now, the common factors can be found like this.
443:443
375:3x 5x 5x 5
450:2x 3x 3x 5x 5
110:2x 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 5x 5 = 750
Therefore, the value for common factors is 750.
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 = 8223187500/(1x750)
LCM = 8223187500/750
LCM = 10964250
Thus, we can understand that the LCM of 443,375,450,110 is 10964250.
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, 375, 450, 110
1. What is the LCM of 443, 375, 450, 110?
Answer: LCM of 443, 375, 450, 110 is 10964250.
2. How to calculate the LCM of 443, 375, 450, 110?
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, 375, 450, 110.
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}.