Given numbers are 763,332,338,208

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

The LCM of 763,332,338,208 is 171241616.

Find LCM of 763,332,338,208 with Prime Factorization

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

2 x 2 x 13 x 763 x 83 x 13 x 4 = 171241616

Therefore, the lowest common multiple of 763,332,338,208 is 171241616.

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.

763 x 332 x 338 x 208 = 17809128064

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.

763 : 1, 7, 109, 763

332 : 1, 2, 4, 83, 166, 332

338 : 1, 2, 13, 26, 169, 338

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,332,338,208, is 1.

Now, the common factors can be found like this.

763:7x 109

332:2x 2x 83

338:2x 13x 13

208:2x 2x 2x 2x 13

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 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 17809128064/(1x104)

LCM = 17809128064/104

LCM = 171241616

Thus, we can understand that the LCM of 763,332,338,208 is 171241616.

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

• LCM of 508, 191, 901, 971
• LCM of 475, 604, 446, 755
• LCM of 865, 154, 499, 680
• LCM of 748, 660, 767, 974
• LCM of 949, 144, 379, 332

1. What is the LCM of 763, 332, 338, 208?

Answer: LCM of 763, 332, 338, 208 is 171241616.

2. How to calculate the LCM of 763, 332, 338, 208?

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 763, 332, 338, 208.

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}.