Find the LCM of 418, 546, 177, 444, 243 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 418, 546, 177, 444, 243. So, keep reading to learn more.
Given numbers are 418,546,177,444,243
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,546,177,444,243 is 40355959644.
Find LCM of 418,546,177,444,243 with Prime Factorization
2 | 418, 546, 177, 444, 243 |
3 | 209, 273, 177, 222, 243 |
209, 91, 59, 74, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 209 x 91 x 59 x 74 x 81 = 40355959644
Therefore, the lowest common multiple of 418,546,177,444,243 is 40355959644.
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.
418 x 546 x 177 x 444 x 243 = 4358443641552
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
177 : 1, 3, 59, 177
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
243 : 1, 3, 9, 27, 81, 243
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,546,177,444,243, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
546:2x 3x 7x 13
177:3x 59
444:2x 2x 3x 37
243:3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 4358443641552/(1x108)
LCM = 4358443641552/108
LCM = 40355959644
Thus, we can understand that the LCM of 418,546,177,444,243 is 40355959644.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 418, 546, 177, 444, 243?
Answer: LCM of 418, 546, 177, 444, 243 is 40355959644.
2. How to calculate the LCM of 418, 546, 177, 444, 243?
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 418, 546, 177, 444, 243.
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}.