Find the LCM of 437, 584, 251, 322 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 437, 584, 251, 322. So, keep reading to learn more.
Given numbers are 437,584,251,322
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,584,251,322 is 448400456.
Find LCM of 437,584,251,322 with Prime Factorization
2 | 437, 584, 251, 322 |
23 | 437, 292, 251, 161 |
19, 292, 251, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 19 x 292 x 251 x 7 = 448400456
Therefore, the lowest common multiple of 437,584,251,322 is 448400456.
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.
437 x 584 x 251 x 322 = 20626420976
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.
437 : 1, 19, 23, 437
584 : 1, 2, 4, 8, 73, 146, 292, 584
251 : 1, 251
322 : 1, 2, 7, 14, 23, 46, 161, 322
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,584,251,322, is 1.
Now, the common factors can be found like this.
437:19x 23
584:2x 2x 2x 73
251:251
322:2x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23 = 46
Therefore, the value for common factors is 46.
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 = 20626420976/(1x46)
LCM = 20626420976/46
LCM = 448400456
Thus, we can understand that the LCM of 437,584,251,322 is 448400456.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 437, 584, 251, 322?
Answer: LCM of 437, 584, 251, 322 is 448400456.
2. How to calculate the LCM of 437, 584, 251, 322?
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 437, 584, 251, 322.
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}.