LCM of 540, 546, 400, 230, 898
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 540, 546, 400, 230, 898 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 540, 546, 400, 230, 898. So, keep reading to learn more.
Given numbers are 540,546,400,230,898
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 540,546,400,230,898 is 10149375600.
Find LCM of 540,546,400,230,898 with Prime Factorization
| 2 | 540, 546, 400, 230, 898 |
| 2 | 270, 273, 200, 115, 449 |
| 3 | 135, 273, 100, 115, 449 |
| 5 | 45, 91, 100, 115, 449 |
| 9, 91, 20, 23, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 9 x 91 x 20 x 23 x 449 = 10149375600
Therefore, the lowest common multiple of 540,546,400,230,898 is 10149375600.
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.
540 x 546 x 400 x 230 x 898 = 24358501440000
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.
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
230 : 1, 2, 5, 10, 23, 46, 115, 230
898 : 1, 2, 449, 898
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,546,400,230,898, is 2.
Now, the common factors can be found like this.
540:2x 2x 3x 3x 3x 5
546:2x 3x 7x 13
400:2x 2x 2x 2x 5x 5
230:2x 5x 23
898:2x 449
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 2x 3x 5x 5 = 1200
Therefore, the value for common factors is 1200.
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 = 24358501440000/(2x1200)
LCM = 24358501440000/2400
LCM = 10149375600
Thus, we can understand that the LCM of 540,546,400,230,898 is 10149375600.
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FAQs on LCM of 540, 546, 400, 230, 898
1. What is the LCM of 540, 546, 400, 230, 898?
Answer: LCM of 540, 546, 400, 230, 898 is 10149375600.
2. How to calculate the LCM of 540, 546, 400, 230, 898?
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 540, 546, 400, 230, 898.
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}.