LCM of 873, 358, 300, 923, 675
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 873, 358, 300, 923, 675 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 873, 358, 300, 923, 675. So, keep reading to learn more.
Given numbers are 873,358,300,923,675
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 873,358,300,923,675 is 43270332300.
Find LCM of 873,358,300,923,675 with Prime Factorization
| 2 | 873, 358, 300, 923, 675 |
| 3 | 873, 179, 150, 923, 675 |
| 3 | 291, 179, 50, 923, 225 |
| 5 | 97, 179, 50, 923, 75 |
| 5 | 97, 179, 10, 923, 15 |
| 97, 179, 2, 923, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 5 x 97 x 179 x 2 x 923 x 3 = 43270332300
Therefore, the lowest common multiple of 873,358,300,923,675 is 43270332300.
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.
873 x 358 x 300 x 923 x 675 = 58414948605000
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.
873 : 1, 3, 9, 97, 291, 873
358 : 1, 2, 179, 358
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
923 : 1, 13, 71, 923
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,358,300,923,675, is 1.
Now, the common factors can be found like this.
873:3x 3x 97
358:2x 179
300:2x 2x 3x 5x 5
923:13x 71
675:3x 3x 3x 5x 5
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 5 = 1350
Therefore, the value for common factors is 1350.
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 = 58414948605000/(1x1350)
LCM = 58414948605000/1350
LCM = 43270332300
Thus, we can understand that the LCM of 873,358,300,923,675 is 43270332300.
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FAQs on LCM of 873, 358, 300, 923, 675
1. What is the LCM of 873, 358, 300, 923, 675?
Answer: LCM of 873, 358, 300, 923, 675 is 43270332300.
2. How to calculate the LCM of 873, 358, 300, 923, 675?
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 873, 358, 300, 923, 675.
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}.