LCM of 460, 412, 478, 423
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 460, 412, 478, 423 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 460, 412, 478, 423. So, keep reading to learn more.
Given numbers are 460,412,478,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,412,478,423 is 4789975860.
Find LCM of 460,412,478,423 with Prime Factorization
| 2 | 460, 412, 478, 423 |
| 2 | 230, 206, 239, 423 |
| 115, 103, 239, 423 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 115 x 103 x 239 x 423 = 4789975860
Therefore, the lowest common multiple of 460,412,478,423 is 4789975860.
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.
460 x 412 x 478 x 423 = 38319806880
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
412 : 1, 2, 4, 103, 206, 412
478 : 1, 2, 239, 478
423 : 1, 3, 9, 47, 141, 423
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,412,478,423, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
412:2x 2x 103
478:2x 239
423:3x 3x 47
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 2 = 8
Therefore, the value for common factors is 8.
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 = 38319806880/(1x8)
LCM = 38319806880/8
LCM = 4789975860
Thus, we can understand that the LCM of 460,412,478,423 is 4789975860.
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FAQs on LCM of 460, 412, 478, 423
1. What is the LCM of 460, 412, 478, 423?
Answer: LCM of 460, 412, 478, 423 is 4789975860.
2. How to calculate the LCM of 460, 412, 478, 423?
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 460, 412, 478, 423.
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}.