LCM of 459, 120, 663, 475, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 120, 663, 475, 476 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 459, 120, 663, 475, 476. So, keep reading to learn more.
Given numbers are 459,120,663,475,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,120,663,475,476 is 158722200.
Find LCM of 459,120,663,475,476 with Prime Factorization
| 2 | 459, 120, 663, 475, 476 |
| 2 | 459, 60, 663, 475, 238 |
| 3 | 459, 30, 663, 475, 119 |
| 5 | 153, 10, 221, 475, 119 |
| 17 | 153, 2, 221, 95, 119 |
| 9, 2, 13, 95, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 9 x 2 x 13 x 95 x 7 = 158722200
Therefore, the lowest common multiple of 459,120,663,475,476 is 158722200.
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.
459 x 120 x 663 x 475 x 476 = 8256728844000
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
663 : 1, 3, 13, 17, 39, 51, 221, 663
475 : 1, 5, 19, 25, 95, 475
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,120,663,475,476, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
120:2x 2x 2x 3x 5
663:3x 13x 17
475:5x 5x 19
476:2x 2x 7x 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 17x 17 = 52020
Therefore, the value for common factors is 52020.
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 = 8256728844000/(1x52020)
LCM = 8256728844000/52020
LCM = 158722200
Thus, we can understand that the LCM of 459,120,663,475,476 is 158722200.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 459, 120, 663, 475, 476
1. What is the LCM of 459, 120, 663, 475, 476?
Answer: LCM of 459, 120, 663, 475, 476 is 158722200.
2. How to calculate the LCM of 459, 120, 663, 475, 476?
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 459, 120, 663, 475, 476.
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}.