LCM of 169, 428, 321, 450, 507
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 428, 321, 450, 507 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 169, 428, 321, 450, 507. So, keep reading to learn more.
Given numbers are 169,428,321,450,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,428,321,450,507 is 16274700.
Find LCM of 169,428,321,450,507 with Prime Factorization
| 2 | 169, 428, 321, 450, 507 |
| 3 | 169, 214, 321, 225, 507 |
| 13 | 169, 214, 107, 75, 169 |
| 13 | 13, 214, 107, 75, 13 |
| 107 | 1, 214, 107, 75, 1 |
| 1, 2, 1, 75, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 13 x 107 x 1 x 2 x 1 x 75 x 1 = 16274700
Therefore, the lowest common multiple of 169,428,321,450,507 is 16274700.
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.
169 x 428 x 321 x 450 x 507 = 5297317201800
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.
169 : 1, 13, 169
428 : 1, 2, 4, 107, 214, 428
321 : 1, 3, 107, 321
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,428,321,450,507, is 1.
Now, the common factors can be found like this.
169:13x 13
428:2x 2x 107
321:3x 107
450:2x 3x 3x 5x 5
507:3x 13x 13
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 3x 13x 13x 107 = 325494
Therefore, the value for common factors is 325494.
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 = 5297317201800/(1x325494)
LCM = 5297317201800/325494
LCM = 16274700
Thus, we can understand that the LCM of 169,428,321,450,507 is 16274700.
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FAQs on LCM of 169, 428, 321, 450, 507
1. What is the LCM of 169, 428, 321, 450, 507?
Answer: LCM of 169, 428, 321, 450, 507 is 16274700.
2. How to calculate the LCM of 169, 428, 321, 450, 507?
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 169, 428, 321, 450, 507.
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}.