Find the LCM of 377, 471, 871, 533 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 377, 471, 871, 533. So, keep reading to learn more.
Given numbers are 377,471,871,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,471,871,533 is 487776549.
Find LCM of 377,471,871,533 with Prime Factorization
13 | 377, 471, 871, 533 |
29, 471, 67, 41 |
Multiply the prime numbers at the bottom and the left side.
13 x 29 x 471 x 67 x 41 = 487776549
Therefore, the lowest common multiple of 377,471,871,533 is 487776549.
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.
377 x 471 x 871 x 533 = 82434236781
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.
377 : 1, 13, 29, 377
471 : 1, 3, 157, 471
871 : 1, 13, 67, 871
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,471,871,533, is 1.
Now, the common factors can be found like this.
377:13x 29
471:3x 157
871:13x 67
533:13x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 82434236781/(1x169)
LCM = 82434236781/169
LCM = 487776549
Thus, we can understand that the LCM of 377,471,871,533 is 487776549.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 377, 471, 871, 533?
Answer: LCM of 377, 471, 871, 533 is 487776549.
2. How to calculate the LCM of 377, 471, 871, 533?
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 377, 471, 871, 533.
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}.