LCM of 478, 239, 138, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 239, 138, 289 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, 239, 138, 289. So, keep reading to learn more.
Given numbers are 478,239,138,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,239,138,289 is 9531798.
Find LCM of 478,239,138,289 with Prime Factorization
| 2 | 478, 239, 138, 289 |
| 239 | 239, 239, 69, 289 |
| 1, 1, 69, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 239 x 1 x 1 x 69 x 289 = 9531798
Therefore, the lowest common multiple of 478,239,138,289 is 9531798.
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 239 x 138 x 289 = 4556199444
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
239 : 1, 239
138 : 1, 2, 3, 6, 23, 46, 69, 138
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,239,138,289, is 1.
Now, the common factors can be found like this.
478:2x 239
239:239
138:2x 3x 23
289:17x 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 239 = 478
Therefore, the value for common factors is 478.
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 = 4556199444/(1x478)
LCM = 4556199444/478
LCM = 9531798
Thus, we can understand that the LCM of 478,239,138,289 is 9531798.
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FAQs on LCM of 478, 239, 138, 289
1. What is the LCM of 478, 239, 138, 289?
Answer: LCM of 478, 239, 138, 289 is 9531798.
2. How to calculate the LCM of 478, 239, 138, 289?
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, 239, 138, 289.
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}.