LCM of 225, 523, 829, 350
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 225, 523, 829, 350 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 225, 523, 829, 350. So, keep reading to learn more.
Given numbers are 225,523,829,350
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 225,523,829,350 is 1365736050.
Find LCM of 225,523,829,350 with Prime Factorization
| 5 | 225, 523, 829, 350 |
| 5 | 45, 523, 829, 70 |
| 9, 523, 829, 14 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 9 x 523 x 829 x 14 = 1365736050
Therefore, the lowest common multiple of 225,523,829,350 is 1365736050.
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.
225 x 523 x 829 x 350 = 34143401250
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.
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
523 : 1, 523
829 : 1, 829
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,523,829,350, is 1.
Now, the common factors can be found like this.
225:3x 3x 5x 5
523:523
829:829
350:2x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5 = 25
Therefore, the value for common factors is 25.
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 = 34143401250/(1x25)
LCM = 34143401250/25
LCM = 1365736050
Thus, we can understand that the LCM of 225,523,829,350 is 1365736050.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 225, 523, 829, 350
1. What is the LCM of 225, 523, 829, 350?
Answer: LCM of 225, 523, 829, 350 is 1365736050.
2. How to calculate the LCM of 225, 523, 829, 350?
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 225, 523, 829, 350.
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}.