LCM of 586, 492, 423, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 492, 423, 984 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 586, 492, 423, 984. So, keep reading to learn more.
Given numbers are 586,492,423,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,492,423,984 is 40651992.
Find LCM of 586,492,423,984 with Prime Factorization
| 2 | 586, 492, 423, 984 |
| 2 | 293, 246, 423, 492 |
| 3 | 293, 123, 423, 246 |
| 41 | 293, 41, 141, 82 |
| 293, 1, 141, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 293 x 1 x 141 x 2 = 40651992
Therefore, the lowest common multiple of 586,492,423,984 is 40651992.
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.
586 x 492 x 423 x 984 = 120004680384
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.
586 : 1, 2, 293, 586
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
423 : 1, 3, 9, 47, 141, 423
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,492,423,984, is 1.
Now, the common factors can be found like this.
586:2x 293
492:2x 2x 3x 41
423:3x 3x 47
984:2x 2x 2x 3x 41
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 3x 41 = 2952
Therefore, the value for common factors is 2952.
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 = 120004680384/(1x2952)
LCM = 120004680384/2952
LCM = 40651992
Thus, we can understand that the LCM of 586,492,423,984 is 40651992.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 586, 492, 423, 984
1. What is the LCM of 586, 492, 423, 984?
Answer: LCM of 586, 492, 423, 984 is 40651992.
2. How to calculate the LCM of 586, 492, 423, 984?
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 586, 492, 423, 984.
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}.