Find the LCM of 422, 464, 746, 746 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 422, 464, 746, 746. So, keep reading to learn more.
Given numbers are 422,464,746,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,464,746,746 is 36518192.
Find LCM of 422,464,746,746 with Prime Factorization
2 | 422, 464, 746, 746 |
373 | 211, 232, 373, 373 |
211, 232, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 373 x 211 x 232 x 1 x 1 = 36518192
Therefore, the lowest common multiple of 422,464,746,746 is 36518192.
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.
422 x 464 x 746 x 746 = 108970284928
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.
422 : 1, 2, 211, 422
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
746 : 1, 2, 373, 746
746 : 1, 2, 373, 746
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,464,746,746, is 2.
Now, the common factors can be found like this.
422:2x 211
464:2x 2x 2x 2x 29
746:2x 373
746:2x 373
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 373 = 1492
Therefore, the value for common factors is 1492.
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 = 108970284928/(2x1492)
LCM = 108970284928/2984
LCM = 36518192
Thus, we can understand that the LCM of 422,464,746,746 is 36518192.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 422, 464, 746, 746?
Answer: LCM of 422, 464, 746, 746 is 36518192.
2. How to calculate the LCM of 422, 464, 746, 746?
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 422, 464, 746, 746.
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}.