LCM of 246, 306, 578, 480
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 246, 306, 578, 480 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 246, 306, 578, 480. So, keep reading to learn more.
Given numbers are 246,306,578,480
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 246,306,578,480 is 17062560.
Find LCM of 246,306,578,480 with Prime Factorization
| 2 | 246, 306, 578, 480 |
| 3 | 123, 153, 289, 240 |
| 17 | 41, 51, 289, 80 |
| 41, 3, 17, 80 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 41 x 3 x 17 x 80 = 17062560
Therefore, the lowest common multiple of 246,306,578,480 is 17062560.
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.
246 x 306 x 578 x 480 = 20884573440
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.
246 : 1, 2, 3, 6, 41, 82, 123, 246
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
578 : 1, 2, 17, 34, 289, 578
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 246,306,578,480, is 2.
Now, the common factors can be found like this.
246:2x 3x 41
306:2x 3x 3x 17
578:2x 17x 17
480:2x 2x 2x 2x 2x 3x 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 3x 3x 17 = 612
Therefore, the value for common factors is 612.
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 = 20884573440/(2x612)
LCM = 20884573440/1224
LCM = 17062560
Thus, we can understand that the LCM of 246,306,578,480 is 17062560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 246, 306, 578, 480
1. What is the LCM of 246, 306, 578, 480?
Answer: LCM of 246, 306, 578, 480 is 17062560.
2. How to calculate the LCM of 246, 306, 578, 480?
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 246, 306, 578, 480.
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}.