LCM of 459, 720, 542, 146
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 720, 542, 146 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 459, 720, 542, 146. So, keep reading to learn more.
Given numbers are 459,720,542,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,720,542,146 is 726431760.
Find LCM of 459,720,542,146 with Prime Factorization
| 2 | 459, 720, 542, 146 |
| 3 | 459, 360, 271, 73 |
| 3 | 153, 120, 271, 73 |
| 51, 40, 271, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 51 x 40 x 271 x 73 = 726431760
Therefore, the lowest common multiple of 459,720,542,146 is 726431760.
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.
459 x 720 x 542 x 146 = 26151543360
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
542 : 1, 2, 271, 542
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,720,542,146, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
720:2x 2x 2x 2x 3x 3x 5
542:2x 271
146:2x 73
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 3 = 36
Therefore, the value for common factors is 36.
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 = 26151543360/(1x36)
LCM = 26151543360/36
LCM = 726431760
Thus, we can understand that the LCM of 459,720,542,146 is 726431760.
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FAQs on LCM of 459, 720, 542, 146
1. What is the LCM of 459, 720, 542, 146?
Answer: LCM of 459, 720, 542, 146 is 726431760.
2. How to calculate the LCM of 459, 720, 542, 146?
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 459, 720, 542, 146.
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}.