LCM of 522, 306, 493, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 522, 306, 493, 612 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 522, 306, 493, 612. So, keep reading to learn more.
Given numbers are 522,306,493,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 522,306,493,612 is 17748.
Find LCM of 522,306,493,612 with Prime Factorization
| 2 | 522, 306, 493, 612 |
| 3 | 261, 153, 493, 306 |
| 3 | 87, 51, 493, 102 |
| 17 | 29, 17, 493, 34 |
| 29 | 29, 1, 29, 2 |
| 1, 1, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 29 x 1 x 1 x 1 x 2 = 17748
Therefore, the lowest common multiple of 522,306,493,612 is 17748.
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.
522 x 306 x 493 x 612 = 48193700112
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.
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
493 : 1, 17, 29, 493
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,306,493,612, is 1.
Now, the common factors can be found like this.
522:2x 3x 3x 29
306:2x 3x 3x 17
493:17x 29
612:2x 2x 3x 3x 17
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 3x 3x 17x 17x 29 = 2715444
Therefore, the value for common factors is 2715444.
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 = 48193700112/(1x2715444)
LCM = 48193700112/2715444
LCM = 17748
Thus, we can understand that the LCM of 522,306,493,612 is 17748.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 522, 306, 493, 612
1. What is the LCM of 522, 306, 493, 612?
Answer: LCM of 522, 306, 493, 612 is 17748.
2. How to calculate the LCM of 522, 306, 493, 612?
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 522, 306, 493, 612.
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}.