LCM of 478, 918, 459, 570
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 918, 459, 570 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 478, 918, 459, 570. So, keep reading to learn more.
Given numbers are 478,918,459,570
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,918,459,570 is 20843190.
Find LCM of 478,918,459,570 with Prime Factorization
| 2 | 478, 918, 459, 570 |
| 3 | 239, 459, 459, 285 |
| 3 | 239, 153, 153, 95 |
| 3 | 239, 51, 51, 95 |
| 17 | 239, 17, 17, 95 |
| 239, 1, 1, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 17 x 239 x 1 x 1 x 95 = 20843190
Therefore, the lowest common multiple of 478,918,459,570 is 20843190.
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.
478 x 918 x 459 x 570 = 114804290520
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.
478 : 1, 2, 239, 478
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
459 : 1, 3, 9, 17, 27, 51, 153, 459
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,918,459,570, is 1.
Now, the common factors can be found like this.
478:2x 239
918:2x 3x 3x 3x 17
459:3x 3x 3x 17
570:2x 3x 5x 19
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 17 = 5508
Therefore, the value for common factors is 5508.
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 = 114804290520/(1x5508)
LCM = 114804290520/5508
LCM = 20843190
Thus, we can understand that the LCM of 478,918,459,570 is 20843190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 478, 918, 459, 570
1. What is the LCM of 478, 918, 459, 570?
Answer: LCM of 478, 918, 459, 570 is 20843190.
2. How to calculate the LCM of 478, 918, 459, 570?
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 478, 918, 459, 570.
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}.