LCM of 578, 731, 276, 489
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 731, 276, 489 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 578, 731, 276, 489. So, keep reading to learn more.
Given numbers are 578,731,276,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,731,276,489 is 559065876.
Find LCM of 578,731,276,489 with Prime Factorization
| 2 | 578, 731, 276, 489 |
| 3 | 289, 731, 138, 489 |
| 17 | 289, 731, 46, 163 |
| 17, 43, 46, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 17 x 43 x 46 x 163 = 559065876
Therefore, the lowest common multiple of 578,731,276,489 is 559065876.
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.
578 x 731 x 276 x 489 = 57024719352
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.
578 : 1, 2, 17, 34, 289, 578
731 : 1, 17, 43, 731
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,731,276,489, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
731:17x 43
276:2x 2x 3x 23
489:3x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 57024719352/(1x102)
LCM = 57024719352/102
LCM = 559065876
Thus, we can understand that the LCM of 578,731,276,489 is 559065876.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 578, 731, 276, 489
1. What is the LCM of 578, 731, 276, 489?
Answer: LCM of 578, 731, 276, 489 is 559065876.
2. How to calculate the LCM of 578, 731, 276, 489?
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 578, 731, 276, 489.
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}.