Find the LCM of 543, 418, 407, 493 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 543, 418, 407, 493. So, keep reading to learn more.
Given numbers are 543,418,407,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,418,407,493 is 4140232734.
Find LCM of 543,418,407,493 with Prime Factorization
11 | 543, 418, 407, 493 |
543, 38, 37, 493 |
Multiply the prime numbers at the bottom and the left side.
11 x 543 x 38 x 37 x 493 = 4140232734
Therefore, the lowest common multiple of 543,418,407,493 is 4140232734.
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.
543 x 418 x 407 x 493 = 45542560074
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.
543 : 1, 3, 181, 543
418 : 1, 2, 11, 19, 22, 38, 209, 418
407 : 1, 11, 37, 407
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,418,407,493, is 1.
Now, the common factors can be found like this.
543:3x 181
418:2x 11x 19
407:11x 37
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 45542560074/(1x11)
LCM = 45542560074/11
LCM = 4140232734
Thus, we can understand that the LCM of 543,418,407,493 is 4140232734.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 543, 418, 407, 493?
Answer: LCM of 543, 418, 407, 493 is 4140232734.
2. How to calculate the LCM of 543, 418, 407, 493?
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 543, 418, 407, 493.
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}.