Given numbers are 234,493,488

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

The LCM of 234,493,488 is 28148328.

Find LCM of 234,493,488 with Prime Factorization

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

2 x 117 x 493 x 244 = 28148328

Therefore, the lowest common multiple of 234,493,488 is 28148328.

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.

234 x 493 x 488 = 56296656

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

493 : 1, 17, 29, 493

488 : 1, 2, 4, 8, 61, 122, 244, 488

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,493,488, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

493:17x 29

488:2x 2x 2x 61

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 = 56296656/(1x2)

LCM = 56296656/2

LCM = 28148328

Thus, we can understand that the LCM of 234,493,488 is 28148328.

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

• LCM of 445, 811, 508
• LCM of 479, 518, 978
• LCM of 243, 687, 778
• LCM of 370, 960, 681
• LCM of 371, 625, 168

1. What is the LCM of 234, 493, 488?

Answer: LCM of 234, 493, 488 is 28148328.

2. How to calculate the LCM of 234, 493, 488?

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 234, 493, 488.

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}.