Find the LCM of 151, 533, 502, 467, 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 151, 533, 502, 467, 949. So, keep reading to learn more.
Given numbers are 151,533,502,467,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 151,533,502,467,949 is 1377360468406.
Find LCM of 151,533,502,467,949 with Prime Factorization
13 | 151, 533, 502, 467, 949 |
151, 41, 502, 467, 73 |
Multiply the prime numbers at the bottom and the left side.
13 x 151 x 41 x 502 x 467 x 73 = 1377360468406
Therefore, the lowest common multiple of 151,533,502,467,949 is 1377360468406.
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.
151 x 533 x 502 x 467 x 949 = 17905686089278
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.
151 : 1, 151
533 : 1, 13, 41, 533
502 : 1, 2, 251, 502
467 : 1, 467
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,533,502,467,949, is 1.
Now, the common factors can be found like this.
151:151
533:13x 41
502:2x 251
467:467
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.
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 = 17905686089278/(1x13)
LCM = 17905686089278/13
LCM = 1377360468406
Thus, we can understand that the LCM of 151,533,502,467,949 is 1377360468406.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 151, 533, 502, 467, 949?
Answer: LCM of 151, 533, 502, 467, 949 is 1377360468406.
2. How to calculate the LCM of 151, 533, 502, 467, 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 151, 533, 502, 467, 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}.