LCM of 481, 800, 456, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 481, 800, 456, 546 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 481, 800, 456, 546. So, keep reading to learn more.
Given numbers are 481,800,456,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,800,456,546 is 153535200.
Find LCM of 481,800,456,546 with Prime Factorization
| 2 | 481, 800, 456, 546 |
| 2 | 481, 400, 228, 273 |
| 2 | 481, 200, 114, 273 |
| 3 | 481, 100, 57, 273 |
| 13 | 481, 100, 19, 91 |
| 37, 100, 19, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 37 x 100 x 19 x 7 = 153535200
Therefore, the lowest common multiple of 481,800,456,546 is 153535200.
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.
481 x 800 x 456 x 546 = 95805964800
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.
481 : 1, 13, 37, 481
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,800,456,546, is 1.
Now, the common factors can be found like this.
481:13x 37
800:2x 2x 2x 2x 2x 5x 5
456:2x 2x 2x 3x 19
546:2x 3x 7x 13
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 13 = 624
Therefore, the value for common factors is 624.
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 = 95805964800/(1x624)
LCM = 95805964800/624
LCM = 153535200
Thus, we can understand that the LCM of 481,800,456,546 is 153535200.
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FAQs on LCM of 481, 800, 456, 546
1. What is the LCM of 481, 800, 456, 546?
Answer: LCM of 481, 800, 456, 546 is 153535200.
2. How to calculate the LCM of 481, 800, 456, 546?
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 481, 800, 456, 546.
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}.