Given numbers are 762,438,382,729

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

The LCM of 762,438,382,729 is 2581769538.

Find LCM of 762,438,382,729 with Prime Factorization

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

2 x 3 x 127 x 73 x 191 x 243 = 2581769538

Therefore, the lowest common multiple of 762,438,382,729 is 2581769538.

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.

762 x 438 x 382 x 729 = 92943703368

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.

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

382 : 1, 2, 191, 382

729 : 1, 3, 9, 27, 81, 243, 729

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,438,382,729, is 1.

Now, the common factors can be found like this.

762:2x 3x 127

438:2x 3x 73

382:2x 191

729:3x 3x 3x 3x 3x 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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 92943703368/(1x36)

LCM = 92943703368/36

LCM = 2581769538

Thus, we can understand that the LCM of 762,438,382,729 is 2581769538.

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

• LCM of 771, 241, 237, 703
• LCM of 607, 435, 739, 870
• LCM of 112, 537, 200, 382
• LCM of 897, 975, 294, 288
• LCM of 550, 329, 774, 507

1. What is the LCM of 762, 438, 382, 729?

Answer: LCM of 762, 438, 382, 729 is 2581769538.

2. How to calculate the LCM of 762, 438, 382, 729?

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 762, 438, 382, 729.

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}.