Given numbers are 456,428,163,58

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

The LCM of 456,428,163,58 is 230639784.

Find LCM of 456,428,163,58 with Prime Factorization

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

2 x 2 x 114 x 107 x 163 x 29 = 230639784

Therefore, the lowest common multiple of 456,428,163,58 is 230639784.

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.

456 x 428 x 163 x 58 = 1845118272

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

163 : 1, 163

58 : 1, 2, 29, 58

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,428,163,58, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

428:2x 2x 107

163:163

58:2x 29

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 2 = 8

Therefore, the value for common factors is 8.

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 = 1845118272/(1x8)

LCM = 1845118272/8

LCM = 230639784

Thus, we can understand that the LCM of 456,428,163,58 is 230639784.

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

• LCM of 771, 830, 658, 73
• LCM of 608, 108, 752, 17
• LCM of 239, 493, 719, 30
• LCM of 338, 265, 161, 72
• LCM of 223, 442, 925, 14

1. What is the LCM of 456, 428, 163, 58?

Answer: LCM of 456, 428, 163, 58 is 230639784.

2. How to calculate the LCM of 456, 428, 163, 58?

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 456, 428, 163, 58.

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}.