LCM of 478, 817, 904, 238
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 817, 904, 238 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, 817, 904, 238. So, keep reading to learn more.
Given numbers are 478,817,904,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,817,904,238 is 21005612488.
Find LCM of 478,817,904,238 with Prime Factorization
| 2 | 478, 817, 904, 238 |
| 239, 817, 452, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 239 x 817 x 452 x 119 = 21005612488
Therefore, the lowest common multiple of 478,817,904,238 is 21005612488.
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 817 x 904 x 238 = 84022449952
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
817 : 1, 19, 43, 817
904 : 1, 2, 4, 8, 113, 226, 452, 904
238 : 1, 2, 7, 14, 17, 34, 119, 238
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,817,904,238, is 1.
Now, the common factors can be found like this.
478:2x 239
817:19x 43
904:2x 2x 2x 113
238:2x 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 2 = 4
Therefore, the value for common factors is 4.
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 = 84022449952/(1x4)
LCM = 84022449952/4
LCM = 21005612488
Thus, we can understand that the LCM of 478,817,904,238 is 21005612488.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 478, 817, 904, 238
1. What is the LCM of 478, 817, 904, 238?
Answer: LCM of 478, 817, 904, 238 is 21005612488.
2. How to calculate the LCM of 478, 817, 904, 238?
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, 817, 904, 238.
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}.