LCM of 225, 715, 705, 150
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 225, 715, 705, 150 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, 715, 705, 150. So, keep reading to learn more.
Given numbers are 225,715,705,150
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 225,715,705,150 is 3024450.
Find LCM of 225,715,705,150 with Prime Factorization
| 3 | 225, 715, 705, 150 |
| 5 | 75, 715, 235, 50 |
| 5 | 15, 143, 47, 10 |
| 3, 143, 47, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 3 x 143 x 47 x 2 = 3024450
Therefore, the lowest common multiple of 225,715,705,150 is 3024450.
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 715 x 705 x 150 = 17012531250
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
715 : 1, 5, 11, 13, 55, 65, 143, 715
705 : 1, 3, 5, 15, 47, 141, 235, 705
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,715,705,150, is 5.
Now, the common factors can be found like this.
225:3x 3x 5x 5
715:5x 11x 13
705:3x 5x 47
150:2x 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.
3x 3x 5x 5x 5 = 1125
Therefore, the value for common factors is 1125.
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 = 17012531250/(5x1125)
LCM = 17012531250/5625
LCM = 3024450
Thus, we can understand that the LCM of 225,715,705,150 is 3024450.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 225, 715, 705, 150
1. What is the LCM of 225, 715, 705, 150?
Answer: LCM of 225, 715, 705, 150 is 3024450.
2. How to calculate the LCM of 225, 715, 705, 150?
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, 715, 705, 150.
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}.