LCM of 594, 460, 510, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 594, 460, 510, 561 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 594, 460, 510, 561. So, keep reading to learn more.
Given numbers are 594,460,510,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 594,460,510,561 is 2322540.
Find LCM of 594,460,510,561 with Prime Factorization
| 2 | 594, 460, 510, 561 |
| 3 | 297, 230, 255, 561 |
| 5 | 99, 230, 85, 187 |
| 11 | 99, 46, 17, 187 |
| 17 | 9, 46, 17, 17 |
| 9, 46, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 17 x 9 x 46 x 1 x 1 = 2322540
Therefore, the lowest common multiple of 594,460,510,561 is 2322540.
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.
594 x 460 x 510 x 561 = 78176696400
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.
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 594,460,510,561, is 1.
Now, the common factors can be found like this.
594:2x 3x 3x 3x 11
460:2x 2x 5x 23
510:2x 3x 5x 17
561:3x 11x 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 5x 11x 17 = 33660
Therefore, the value for common factors is 33660.
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 = 78176696400/(1x33660)
LCM = 78176696400/33660
LCM = 2322540
Thus, we can understand that the LCM of 594,460,510,561 is 2322540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 594, 460, 510, 561
1. What is the LCM of 594, 460, 510, 561?
Answer: LCM of 594, 460, 510, 561 is 2322540.
2. How to calculate the LCM of 594, 460, 510, 561?
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 594, 460, 510, 561.
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}.