Find the LCM of 463, 811, 271, 363, 542 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, 811, 271, 363, 542. So, keep reading to learn more.
Given numbers are 463,811,271,363,542
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,811,271,363,542 is 73876745778.
Find LCM of 463,811,271,363,542 with Prime Factorization
271 | 463, 811, 271, 363, 542 |
463, 811, 1, 363, 2 |
Multiply the prime numbers at the bottom and the left side.
271 x 463 x 811 x 1 x 363 x 2 = 73876745778
Therefore, the lowest common multiple of 463,811,271,363,542 is 73876745778.
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 811 x 271 x 363 x 542 = 20020598105838
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
811 : 1, 811
271 : 1, 271
363 : 1, 3, 11, 33, 121, 363
542 : 1, 2, 271, 542
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,811,271,363,542, is 1.
Now, the common factors can be found like this.
463:463
811:811
271:271
363:3x 11x 11
542:2x 271
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
271 = 271
Therefore, the value for common factors is 271.
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 = 20020598105838/(1x271)
LCM = 20020598105838/271
LCM = 73876745778
Thus, we can understand that the LCM of 463,811,271,363,542 is 73876745778.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 463, 811, 271, 363, 542?
Answer: LCM of 463, 811, 271, 363, 542 is 73876745778.
2. How to calculate the LCM of 463, 811, 271, 363, 542?
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, 811, 271, 363, 542.
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}.