LCM of 300, 375, 795, 358, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 300, 375, 795, 358, 930 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 300, 375, 795, 358, 930. So, keep reading to learn more.
Given numbers are 300,375,795,358,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 300,375,795,358,930 is 441145500.
Find LCM of 300,375,795,358,930 with Prime Factorization
| 2 | 300, 375, 795, 358, 930 |
| 3 | 150, 375, 795, 179, 465 |
| 5 | 50, 125, 265, 179, 155 |
| 5 | 10, 25, 53, 179, 31 |
| 2, 5, 53, 179, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 2 x 5 x 53 x 179 x 31 = 441145500
Therefore, the lowest common multiple of 300,375,795,358,930 is 441145500.
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.
300 x 375 x 795 x 358 x 930 = 29777321250000
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.
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
375 : 1, 3, 5, 15, 25, 75, 125, 375
795 : 1, 3, 5, 15, 53, 159, 265, 795
358 : 1, 2, 179, 358
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,375,795,358,930, is 1.
Now, the common factors can be found like this.
300:2x 2x 3x 5x 5
375:3x 5x 5x 5
795:3x 5x 53
358:2x 179
930:2x 3x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 5x 5x 5x 5 = 67500
Therefore, the value for common factors is 67500.
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 = 29777321250000/(1x67500)
LCM = 29777321250000/67500
LCM = 441145500
Thus, we can understand that the LCM of 300,375,795,358,930 is 441145500.
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FAQs on LCM of 300, 375, 795, 358, 930
1. What is the LCM of 300, 375, 795, 358, 930?
Answer: LCM of 300, 375, 795, 358, 930 is 441145500.
2. How to calculate the LCM of 300, 375, 795, 358, 930?
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 300, 375, 795, 358, 930.
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}.