Given numbers are 762,355,438,912

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

The LCM of 762,355,438,912 is 3001578960.

Find LCM of 762,355,438,912 with Prime Factorization

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

2 x 3 x 127 x 355 x 73 x 152 = 3001578960

Therefore, the lowest common multiple of 762,355,438,912 is 3001578960.

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 355 x 438 x 912 = 108056842560

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

355 : 1, 5, 71, 355

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

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,355,438,912, is 1.

Now, the common factors can be found like this.

762:2x 3x 127

355:5x 71

438:2x 3x 73

912:2x 2x 2x 2x 3x 19

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 = 108056842560/(1x36)

LCM = 108056842560/36

LCM = 3001578960

Thus, we can understand that the LCM of 762,355,438,912 is 3001578960.

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

• LCM of 265, 183, 690, 580
• LCM of 494, 437, 967, 944
• LCM of 372, 165, 943, 432
• LCM of 292, 783, 166, 494
• LCM of 116, 995, 620, 596

1. What is the LCM of 762, 355, 438, 912?

Answer: LCM of 762, 355, 438, 912 is 3001578960.

2. How to calculate the LCM of 762, 355, 438, 912?

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, 355, 438, 912.

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}.