Given numbers are 488,814,762

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

The LCM of 488,814,762 is 75672696.

Find LCM of 488,814,762 with Prime Factorization

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

2 x 244 x 407 x 381 = 75672696

Therefore, the lowest common multiple of 488,814,762 is 75672696.

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.

488 x 814 x 762 = 302690784

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.

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

814 : 1, 2, 11, 22, 37, 74, 407, 814

762 : 1, 2, 3, 6, 127, 254, 381, 762

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,814,762, is 2.

Now, the common factors can be found like this.

488:2x 2x 2x 61

814:2x 11x 37

762:2x 3x 127

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 = 302690784/(2x2)

LCM = 302690784/4

LCM = 75672696

Thus, we can understand that the LCM of 488,814,762 is 75672696.

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

• LCM of 783, 137, 894
• LCM of 637, 758, 314
• LCM of 752, 242, 519
• LCM of 889, 734, 485
• LCM of 320, 665, 467

1. What is the LCM of 488, 814, 762?

Answer: LCM of 488, 814, 762 is 75672696.

2. How to calculate the LCM of 488, 814, 762?

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 488, 814, 762.

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}.