LCM of 310, 458, 709, 450, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 458, 709, 450, 900 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 310, 458, 709, 450, 900. So, keep reading to learn more.
Given numbers are 310,458,709,450,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,458,709,450,900 is 4529871900.
Find LCM of 310,458,709,450,900 with Prime Factorization
| 2 | 310, 458, 709, 450, 900 |
| 3 | 155, 229, 709, 225, 450 |
| 3 | 155, 229, 709, 75, 150 |
| 5 | 155, 229, 709, 25, 50 |
| 5 | 31, 229, 709, 5, 10 |
| 31, 229, 709, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 5 x 31 x 229 x 709 x 1 x 2 = 4529871900
Therefore, the lowest common multiple of 310,458,709,450,900 is 4529871900.
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.
310 x 458 x 709 x 450 x 900 = 40768847100000
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
458 : 1, 2, 229, 458
709 : 1, 709
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,458,709,450,900, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
458:2x 229
709:709
450:2x 3x 3x 5x 5
900:2x 2x 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 2x 2x 3x 3x 5x 5x 5 = 9000
Therefore, the value for common factors is 9000.
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 = 40768847100000/(1x9000)
LCM = 40768847100000/9000
LCM = 4529871900
Thus, we can understand that the LCM of 310,458,709,450,900 is 4529871900.
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FAQs on LCM of 310, 458, 709, 450, 900
1. What is the LCM of 310, 458, 709, 450, 900?
Answer: LCM of 310, 458, 709, 450, 900 is 4529871900.
2. How to calculate the LCM of 310, 458, 709, 450, 900?
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 310, 458, 709, 450, 900.
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}.