Find the LCM of 432, 441, 973, 494, 674 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 432, 441, 973, 494, 674. So, keep reading to learn more.
Given numbers are 432,441,973,494,674
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 432,441,973,494,674 is 244918438128.
Find LCM of 432,441,973,494,674 with Prime Factorization
2 | 432, 441, 973, 494, 674 |
3 | 216, 441, 973, 247, 337 |
3 | 72, 147, 973, 247, 337 |
7 | 24, 49, 973, 247, 337 |
24, 7, 139, 247, 337 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 24 x 7 x 139 x 247 x 337 = 244918438128
Therefore, the lowest common multiple of 432,441,973,494,674 is 244918438128.
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.
432 x 441 x 973 x 494 x 674 = 61719446408256
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.
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
973 : 1, 7, 139, 973
494 : 1, 2, 13, 19, 26, 38, 247, 494
674 : 1, 2, 337, 674
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,441,973,494,674, is 1.
Now, the common factors can be found like this.
432:2x 2x 2x 2x 3x 3x 3
441:3x 3x 7x 7
973:7x 139
494:2x 13x 19
674:2x 337
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 7 = 252
Therefore, the value for common factors is 252.
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 = 61719446408256/(1x252)
LCM = 61719446408256/252
LCM = 244918438128
Thus, we can understand that the LCM of 432,441,973,494,674 is 244918438128.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 432, 441, 973, 494, 674?
Answer: LCM of 432, 441, 973, 494, 674 is 244918438128.
2. How to calculate the LCM of 432, 441, 973, 494, 674?
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 432, 441, 973, 494, 674.
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}.