LCM of 225, 690, 300, 323
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 225, 690, 300, 323 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, 690, 300, 323. So, keep reading to learn more.
Given numbers are 225,690,300,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 225,690,300,323 is 6686100.
Find LCM of 225,690,300,323 with Prime Factorization
| 2 | 225, 690, 300, 323 |
| 3 | 225, 345, 150, 323 |
| 5 | 75, 115, 50, 323 |
| 5 | 15, 23, 10, 323 |
| 3, 23, 2, 323 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 3 x 23 x 2 x 323 = 6686100
Therefore, the lowest common multiple of 225,690,300,323 is 6686100.
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 690 x 300 x 323 = 15043725000
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
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,690,300,323, is 1.
Now, the common factors can be found like this.
225:3x 3x 5x 5
690:2x 3x 5x 23
300:2x 2x 3x 5x 5
323:17x 19
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 5x 5x 5 = 2250
Therefore, the value for common factors is 2250.
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 = 15043725000/(1x2250)
LCM = 15043725000/2250
LCM = 6686100
Thus, we can understand that the LCM of 225,690,300,323 is 6686100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 225, 690, 300, 323
1. What is the LCM of 225, 690, 300, 323?
Answer: LCM of 225, 690, 300, 323 is 6686100.
2. How to calculate the LCM of 225, 690, 300, 323?
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, 690, 300, 323.
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}.