Find the LCM of 351, 461, 422, 871, 467 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 351, 461, 422, 871, 467. So, keep reading to learn more.
Given numbers are 351,461,422,871,467
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 351,461,422,871,467 is 2136545647938.
Find LCM of 351,461,422,871,467 with Prime Factorization
13 | 351, 461, 422, 871, 467 |
27, 461, 422, 67, 467 |
Multiply the prime numbers at the bottom and the left side.
13 x 27 x 461 x 422 x 67 x 467 = 2136545647938
Therefore, the lowest common multiple of 351,461,422,871,467 is 2136545647938.
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.
351 x 461 x 422 x 871 x 467 = 27775093423194
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.
351 : 1, 3, 9, 13, 27, 39, 117, 351
461 : 1, 461
422 : 1, 2, 211, 422
871 : 1, 13, 67, 871
467 : 1, 467
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,461,422,871,467, is 1.
Now, the common factors can be found like this.
351:3x 3x 3x 13
461:461
422:2x 211
871:13x 67
467:467
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 = 27775093423194/(1x13)
LCM = 27775093423194/13
LCM = 2136545647938
Thus, we can understand that the LCM of 351,461,422,871,467 is 2136545647938.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 351, 461, 422, 871, 467?
Answer: LCM of 351, 461, 422, 871, 467 is 2136545647938.
2. How to calculate the LCM of 351, 461, 422, 871, 467?
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 351, 461, 422, 871, 467.
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}.