Find the LCM of 471, 628, 634, 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 471, 628, 634, 251. So, keep reading to learn more.
Given numbers are 471,628,634,251
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,628,634,251 is 149904228.
Find LCM of 471,628,634,251 with Prime Factorization
2 | 471, 628, 634, 251 |
157 | 471, 314, 317, 251 |
3, 2, 317, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 157 x 3 x 2 x 317 x 251 = 149904228
Therefore, the lowest common multiple of 471,628,634,251 is 149904228.
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.
471 x 628 x 634 x 251 = 47069927592
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.
471 : 1, 3, 157, 471
628 : 1, 2, 4, 157, 314, 628
634 : 1, 2, 317, 634
251 : 1, 251
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,628,634,251, is 1.
Now, the common factors can be found like this.
471:3x 157
628:2x 2x 157
634:2x 317
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.
2x 157 = 314
Therefore, the value for common factors is 314.
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 = 47069927592/(1x314)
LCM = 47069927592/314
LCM = 149904228
Thus, we can understand that the LCM of 471,628,634,251 is 149904228.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 471, 628, 634, 251?
Answer: LCM of 471, 628, 634, 251 is 149904228.
2. How to calculate the LCM of 471, 628, 634, 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 471, 628, 634, 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}.