Find the LCM of 493, 946, 731, 251 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 493, 946, 731, 251. So, keep reading to learn more.
Given numbers are 493,946,731,251
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,946,731,251 is 117060878.
Find LCM of 493,946,731,251 with Prime Factorization
17 | 493, 946, 731, 251 |
43 | 29, 946, 43, 251 |
29, 22, 1, 251 |
Multiply the prime numbers at the bottom and the left side.
17 x 43 x 29 x 22 x 1 x 251 = 117060878
Therefore, the lowest common multiple of 493,946,731,251 is 117060878.
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.
493 x 946 x 731 x 251 = 85571501818
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.
493 : 1, 17, 29, 493
946 : 1, 2, 11, 22, 43, 86, 473, 946
731 : 1, 17, 43, 731
251 : 1, 251
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,946,731,251, is 1.
Now, the common factors can be found like this.
493:17x 29
946:2x 11x 43
731:17x 43
251:251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 43 = 731
Therefore, the value for common factors is 731.
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 = 85571501818/(1x731)
LCM = 85571501818/731
LCM = 117060878
Thus, we can understand that the LCM of 493,946,731,251 is 117060878.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 493, 946, 731, 251?
Answer: LCM of 493, 946, 731, 251 is 117060878.
2. How to calculate the LCM of 493, 946, 731, 251?
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 493, 946, 731, 251.
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}.