Find the LCM of 705, 184, 391, 437 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 705, 184, 391, 437. So, keep reading to learn more.
Given numbers are 705,184,391,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,184,391,437 is 41899560.
Find LCM of 705,184,391,437 with Prime Factorization
23 | 705, 184, 391, 437 |
705, 8, 17, 19 |
Multiply the prime numbers at the bottom and the left side.
23 x 705 x 8 x 17 x 19 = 41899560
Therefore, the lowest common multiple of 705,184,391,437 is 41899560.
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.
705 x 184 x 391 x 437 = 22164867240
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
184 : 1, 2, 4, 8, 23, 46, 92, 184
391 : 1, 17, 23, 391
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,184,391,437, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
184:2x 2x 2x 23
391:17x 23
437:19x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 23 = 529
Therefore, the value for common factors is 529.
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 = 22164867240/(1x529)
LCM = 22164867240/529
LCM = 41899560
Thus, we can understand that the LCM of 705,184,391,437 is 41899560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 705, 184, 391, 437?
Answer: LCM of 705, 184, 391, 437 is 41899560.
2. How to calculate the LCM of 705, 184, 391, 437?
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 705, 184, 391, 437.
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}.