LCM of 478, 307, 412, 326, 233
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 307, 412, 326, 233 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, 307, 412, 326, 233. So, keep reading to learn more.
Given numbers are 478,307,412,326,233
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,307,412,326,233 is 1148092864804.
Find LCM of 478,307,412,326,233 with Prime Factorization
| 2 | 478, 307, 412, 326, 233 |
| 239, 307, 206, 163, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 239 x 307 x 206 x 163 x 233 = 1148092864804
Therefore, the lowest common multiple of 478,307,412,326,233 is 1148092864804.
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 307 x 412 x 326 x 233 = 4592371459216
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
307 : 1, 307
412 : 1, 2, 4, 103, 206, 412
326 : 1, 2, 163, 326
233 : 1, 233
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,307,412,326,233, is 1.
Now, the common factors can be found like this.
478:2x 239
307:307
412:2x 2x 103
326:2x 163
233:233
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 = 4592371459216/(1x4)
LCM = 4592371459216/4
LCM = 1148092864804
Thus, we can understand that the LCM of 478,307,412,326,233 is 1148092864804.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 478, 307, 412, 326, 233
1. What is the LCM of 478, 307, 412, 326, 233?
Answer: LCM of 478, 307, 412, 326, 233 is 1148092864804.
2. How to calculate the LCM of 478, 307, 412, 326, 233?
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, 307, 412, 326, 233.
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}.