LCM of 256, 390, 578, 403, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 256, 390, 578, 403, 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 256, 390, 578, 403, 546. So, keep reading to learn more.
Given numbers are 256,390,578,403,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 256,390,578,403,546 is 3130632960.
Find LCM of 256,390,578,403,546 with Prime Factorization
| 2 | 256, 390, 578, 403, 546 |
| 3 | 128, 195, 289, 403, 273 |
| 13 | 128, 65, 289, 403, 91 |
| 128, 5, 289, 31, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 128 x 5 x 289 x 31 x 7 = 3130632960
Therefore, the lowest common multiple of 256,390,578,403,546 is 3130632960.
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.
256 x 390 x 578 x 403 x 546 = 12697847285760
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.
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
578 : 1, 2, 17, 34, 289, 578
403 : 1, 13, 31, 403
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 256,390,578,403,546, is 1.
Now, the common factors can be found like this.
256:2x 2x 2x 2x 2x 2x 2x 2
390:2x 3x 5x 13
578:2x 17x 17
403:13x 31
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 3x 13x 13 = 4056
Therefore, the value for common factors is 4056.
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 = 12697847285760/(1x4056)
LCM = 12697847285760/4056
LCM = 3130632960
Thus, we can understand that the LCM of 256,390,578,403,546 is 3130632960.
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FAQs on LCM of 256, 390, 578, 403, 546
1. What is the LCM of 256, 390, 578, 403, 546?
Answer: LCM of 256, 390, 578, 403, 546 is 3130632960.
2. How to calculate the LCM of 256, 390, 578, 403, 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 256, 390, 578, 403, 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}.