Given numbers are 230,493,268,746

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

The LCM of 230,493,268,746 is 5667458980.

Find LCM of 230,493,268,746 with Prime Factorization

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

2 x 115 x 493 x 134 x 373 = 5667458980

Therefore, the lowest common multiple of 230,493,268,746 is 5667458980.

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.

230 x 493 x 268 x 746 = 22669835920

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

493 : 1, 17, 29, 493

268 : 1, 2, 4, 67, 134, 268

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,493,268,746, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

493:17x 29

268:2x 2x 67

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 2 = 4

Therefore, the value for common factors is 4.

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 = 22669835920/(1x4)

LCM = 22669835920/4

LCM = 5667458980

Thus, we can understand that the LCM of 230,493,268,746 is 5667458980.

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

• LCM of 237, 527, 118, 170
• LCM of 402, 403, 942, 114
• LCM of 252, 380, 443, 328
• LCM of 436, 510, 963, 948
• LCM of 207, 712, 933, 471

1. What is the LCM of 230, 493, 268, 746?

Answer: LCM of 230, 493, 268, 746 is 5667458980.

2. How to calculate the LCM of 230, 493, 268, 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 230, 493, 268, 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}.