Find the LCM of 501, 271, 475, 931, 949 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 501, 271, 475, 931, 949. So, keep reading to learn more.
Given numbers are 501,271,475,931,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 501,271,475,931,949 is 2998906453725.
Find LCM of 501,271,475,931,949 with Prime Factorization
19 | 501, 271, 475, 931, 949 |
501, 271, 25, 49, 949 |
Multiply the prime numbers at the bottom and the left side.
19 x 501 x 271 x 25 x 49 x 949 = 2998906453725
Therefore, the lowest common multiple of 501,271,475,931,949 is 2998906453725.
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.
501 x 271 x 475 x 931 x 949 = 56979222620775
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.
501 : 1, 3, 167, 501
271 : 1, 271
475 : 1, 5, 19, 25, 95, 475
931 : 1, 7, 19, 49, 133, 931
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,271,475,931,949, is 1.
Now, the common factors can be found like this.
501:3x 167
271:271
475:5x 5x 19
931:7x 7x 19
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 56979222620775/(1x19)
LCM = 56979222620775/19
LCM = 2998906453725
Thus, we can understand that the LCM of 501,271,475,931,949 is 2998906453725.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 501, 271, 475, 931, 949?
Answer: LCM of 501, 271, 475, 931, 949 is 2998906453725.
2. How to calculate the LCM of 501, 271, 475, 931, 949?
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 501, 271, 475, 931, 949.
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}.