LCM of 741, 510, 485, 323
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 510, 485, 323 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 741, 510, 485, 323. So, keep reading to learn more.
Given numbers are 741,510,485,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,510,485,323 is 12219090.
Find LCM of 741,510,485,323 with Prime Factorization
| 3 | 741, 510, 485, 323 |
| 5 | 247, 170, 485, 323 |
| 17 | 247, 34, 97, 323 |
| 19 | 247, 2, 97, 19 |
| 13, 2, 97, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 19 x 13 x 2 x 97 x 1 = 12219090
Therefore, the lowest common multiple of 741,510,485,323 is 12219090.
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.
741 x 510 x 485 x 323 = 59201491050
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
485 : 1, 5, 97, 485
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,510,485,323, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
510:2x 3x 5x 17
485:5x 97
323:17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 17x 19 = 4845
Therefore, the value for common factors is 4845.
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 = 59201491050/(1x4845)
LCM = 59201491050/4845
LCM = 12219090
Thus, we can understand that the LCM of 741,510,485,323 is 12219090.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 741, 510, 485, 323
1. What is the LCM of 741, 510, 485, 323?
Answer: LCM of 741, 510, 485, 323 is 12219090.
2. How to calculate the LCM of 741, 510, 485, 323?
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 741, 510, 485, 323.
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}.