Given numbers are 537,704,177,768

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

The LCM of 537,704,177,768 is 89219328.

Find LCM of 537,704,177,768 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 179 x 11 x 59 x 4 = 89219328

Therefore, the lowest common multiple of 537,704,177,768 is 89219328.

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.

537 x 704 x 177 x 768 = 51390332928

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.

537 : 1, 3, 179, 537

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

177 : 1, 3, 59, 177

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,704,177,768, is 1.

Now, the common factors can be found like this.

537:3x 179

704:2x 2x 2x 2x 2x 2x 11

177:3x 59

768:2x 2x 2x 2x 2x 2x 2x 2x 3

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 2x 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 51390332928/(1x576)

LCM = 51390332928/576

LCM = 89219328

Thus, we can understand that the LCM of 537,704,177,768 is 89219328.

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

• LCM of 840, 985, 165, 388
• LCM of 900, 444, 114, 768
• LCM of 485, 802, 792, 573
• LCM of 111, 644, 745, 110
• LCM of 140, 218, 328, 127

1. What is the LCM of 537, 704, 177, 768?

Answer: LCM of 537, 704, 177, 768 is 89219328.

2. How to calculate the LCM of 537, 704, 177, 768?

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 537, 704, 177, 768.

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}.