LCM of 721, 535, 525, 378, 447
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 535, 525, 378, 447 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 721, 535, 525, 378, 447. So, keep reading to learn more.
Given numbers are 721,535,525,378,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,535,525,378,447 is 15518119050.
Find LCM of 721,535,525,378,447 with Prime Factorization
| 3 | 721, 535, 525, 378, 447 |
| 5 | 721, 535, 175, 126, 149 |
| 7 | 721, 107, 35, 126, 149 |
| 103, 107, 5, 18, 149 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 103 x 107 x 5 x 18 x 149 = 15518119050
Therefore, the lowest common multiple of 721,535,525,378,447 is 15518119050.
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.
721 x 535 x 525 x 378 x 447 = 34217452505250
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.
721 : 1, 7, 103, 721
535 : 1, 5, 107, 535
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,535,525,378,447, is 1.
Now, the common factors can be found like this.
721:7x 103
535:5x 107
525:3x 5x 5x 7
378:2x 3x 3x 3x 7
447:3x 149
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 7x 7 = 2205
Therefore, the value for common factors is 2205.
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 = 34217452505250/(1x2205)
LCM = 34217452505250/2205
LCM = 15518119050
Thus, we can understand that the LCM of 721,535,525,378,447 is 15518119050.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 721, 535, 525, 378, 447
1. What is the LCM of 721, 535, 525, 378, 447?
Answer: LCM of 721, 535, 525, 378, 447 is 15518119050.
2. How to calculate the LCM of 721, 535, 525, 378, 447?
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 721, 535, 525, 378, 447.
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}.