Find the LCM of 746, 422, 412, 633 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 746, 422, 412, 633. So, keep reading to learn more.
Given numbers are 746,422,412,633
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,422,412,633 is 97276908.
Find LCM of 746,422,412,633 with Prime Factorization
2 | 746, 422, 412, 633 |
211 | 373, 211, 206, 633 |
373, 1, 206, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 211 x 373 x 1 x 206 x 3 = 97276908
Therefore, the lowest common multiple of 746,422,412,633 is 97276908.
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.
746 x 422 x 412 x 633 = 82101710352
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.
746 : 1, 2, 373, 746
422 : 1, 2, 211, 422
412 : 1, 2, 4, 103, 206, 412
633 : 1, 3, 211, 633
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,422,412,633, is 1.
Now, the common factors can be found like this.
746:2x 373
422:2x 211
412:2x 2x 103
633:3x 211
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 211 = 844
Therefore, the value for common factors is 844.
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 = 82101710352/(1x844)
LCM = 82101710352/844
LCM = 97276908
Thus, we can understand that the LCM of 746,422,412,633 is 97276908.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 746, 422, 412, 633?
Answer: LCM of 746, 422, 412, 633 is 97276908.
2. How to calculate the LCM of 746, 422, 412, 633?
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 746, 422, 412, 633.
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}.