Find the LCM of 491, 507, 533, 443, 776 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 491, 507, 533, 443, 776. So, keep reading to learn more.
Given numbers are 491,507,533,443,776
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,507,533,443,776 is 3508639559256.
Find LCM of 491,507,533,443,776 with Prime Factorization
13 | 491, 507, 533, 443, 776 |
491, 39, 41, 443, 776 |
Multiply the prime numbers at the bottom and the left side.
13 x 491 x 39 x 41 x 443 x 776 = 3508639559256
Therefore, the lowest common multiple of 491,507,533,443,776 is 3508639559256.
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.
491 x 507 x 533 x 443 x 776 = 45612314270328
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.
491 : 1, 491
507 : 1, 3, 13, 39, 169, 507
533 : 1, 13, 41, 533
443 : 1, 443
776 : 1, 2, 4, 8, 97, 194, 388, 776
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,507,533,443,776, is 1.
Now, the common factors can be found like this.
491:491
507:3x 13x 13
533:13x 41
443:443
776:2x 2x 2x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 45612314270328/(1x13)
LCM = 45612314270328/13
LCM = 3508639559256
Thus, we can understand that the LCM of 491,507,533,443,776 is 3508639559256.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 491, 507, 533, 443, 776?
Answer: LCM of 491, 507, 533, 443, 776 is 3508639559256.
2. How to calculate the LCM of 491, 507, 533, 443, 776?
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 491, 507, 533, 443, 776.
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}.