LCM of 463, 542, 998, 347
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 542, 998, 347 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 463, 542, 998, 347. So, keep reading to learn more.
Given numbers are 463,542,998,347
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,542,998,347 is 43452052738.
Find LCM of 463,542,998,347 with Prime Factorization
| 2 | 463, 542, 998, 347 |
| 463, 271, 499, 347 |
Multiply the prime numbers at the bottom and the left side.
2 x 463 x 271 x 499 x 347 = 43452052738
Therefore, the lowest common multiple of 463,542,998,347 is 43452052738.
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.
463 x 542 x 998 x 347 = 86904105476
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.
463 : 1, 463
542 : 1, 2, 271, 542
998 : 1, 2, 499, 998
347 : 1, 347
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,542,998,347, is 1.
Now, the common factors can be found like this.
463:463
542:2x 271
998:2x 499
347:347
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 86904105476/(1x2)
LCM = 86904105476/2
LCM = 43452052738
Thus, we can understand that the LCM of 463,542,998,347 is 43452052738.
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FAQs on LCM of 463, 542, 998, 347
1. What is the LCM of 463, 542, 998, 347?
Answer: LCM of 463, 542, 998, 347 is 43452052738.
2. How to calculate the LCM of 463, 542, 998, 347?
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 463, 542, 998, 347.
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}.