LCM of 322, 135, 499, 290, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 322, 135, 499, 290, 567 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 322, 135, 499, 290, 567. So, keep reading to learn more.
Given numbers are 322,135,499,290,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,135,499,290,567 is 1887163110.
Find LCM of 322,135,499,290,567 with Prime Factorization
| 2 | 322, 135, 499, 290, 567 |
| 3 | 161, 135, 499, 145, 567 |
| 3 | 161, 45, 499, 145, 189 |
| 3 | 161, 15, 499, 145, 63 |
| 5 | 161, 5, 499, 145, 21 |
| 7 | 161, 1, 499, 29, 21 |
| 23, 1, 499, 29, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 7 x 23 x 1 x 499 x 29 x 3 = 1887163110
Therefore, the lowest common multiple of 322,135,499,290,567 is 1887163110.
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.
322 x 135 x 499 x 290 x 567 = 3566738277900
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
135 : 1, 3, 5, 9, 15, 27, 45, 135
499 : 1, 499
290 : 1, 2, 5, 10, 29, 58, 145, 290
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,135,499,290,567, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
135:3x 3x 3x 5
499:499
290:2x 5x 29
567:3x 3x 3x 3x 7
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 3x 5x 7 = 1890
Therefore, the value for common factors is 1890.
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 = 3566738277900/(1x1890)
LCM = 3566738277900/1890
LCM = 1887163110
Thus, we can understand that the LCM of 322,135,499,290,567 is 1887163110.
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FAQs on LCM of 322, 135, 499, 290, 567
1. What is the LCM of 322, 135, 499, 290, 567?
Answer: LCM of 322, 135, 499, 290, 567 is 1887163110.
2. How to calculate the LCM of 322, 135, 499, 290, 567?
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 322, 135, 499, 290, 567.
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}.