LCM of 546, 219, 546, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 219, 546, 510 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 546, 219, 546, 510. So, keep reading to learn more.
Given numbers are 546,219,546,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,219,546,510 is 3387930.
Find LCM of 546,219,546,510 with Prime Factorization
| 2 | 546, 219, 546, 510 |
| 3 | 273, 219, 273, 255 |
| 7 | 91, 73, 91, 85 |
| 13 | 13, 73, 13, 85 |
| 1, 73, 1, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 1 x 73 x 1 x 85 = 3387930
Therefore, the lowest common multiple of 546,219,546,510 is 3387930.
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.
546 x 219 x 546 x 510 = 33296576040
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
219 : 1, 3, 73, 219
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,219,546,510, is 3.
Now, the common factors can be found like this.
546:2x 3x 7x 13
219:3x 73
546:2x 3x 7x 13
510:2x 3x 5x 17
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 7x 13 = 3276
Therefore, the value for common factors is 3276.
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 = 33296576040/(3x3276)
LCM = 33296576040/9828
LCM = 3387930
Thus, we can understand that the LCM of 546,219,546,510 is 3387930.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 546, 219, 546, 510
1. What is the LCM of 546, 219, 546, 510?
Answer: LCM of 546, 219, 546, 510 is 3387930.
2. How to calculate the LCM of 546, 219, 546, 510?
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 546, 219, 546, 510.
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}.