Given numbers are 428,34,458

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 428,34,458 is 1666204.

Find LCM of 428,34,458 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 214 x 17 x 229 = 1666204

Therefore, the lowest common multiple of 428,34,458 is 1666204.

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.

428 x 34 x 458 = 6664816

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.

428 : 1, 2, 4, 107, 214, 428

34 : 1, 2, 17, 34

458 : 1, 2, 229, 458

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,34,458, is 2.

Now, the common factors can be found like this.

428:2x 2x 107

34:2x 17

458:2x 229

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 6664816/(2x2)

LCM = 6664816/4

LCM = 1666204

Thus, we can understand that the LCM of 428,34,458 is 1666204.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 311, 56, 733
• LCM of 831, 44, 502
• LCM of 363, 59, 867
• LCM of 983, 79, 266
• LCM of 566, 49, 333

1. What is the LCM of 428, 34, 458?

Answer: LCM of 428, 34, 458 is 1666204.

2. How to calculate the LCM of 428, 34, 458?

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 428, 34, 458.

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}.