Given numbers are 746,812,284,431

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

The LCM of 746,812,284,431 is 9268308476.

Find LCM of 746,812,284,431 with Prime Factorization

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

2 x 2 x 373 x 203 x 71 x 431 = 9268308476

Therefore, the lowest common multiple of 746,812,284,431 is 9268308476.

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.

746 x 812 x 284 x 431 = 74146467808

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.

746 : 1, 2, 373, 746

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

284 : 1, 2, 4, 71, 142, 284

431 : 1, 431

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,812,284,431, is 1.

Now, the common factors can be found like this.

746:2x 373

812:2x 2x 7x 29

284:2x 2x 71

431:431

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 2 = 8

Therefore, the value for common factors is 8.

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 = 74146467808/(1x8)

LCM = 74146467808/8

LCM = 9268308476

Thus, we can understand that the LCM of 746,812,284,431 is 9268308476.

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

• LCM of 148, 109, 998, 434
• LCM of 267, 261, 123, 156
• LCM of 770, 454, 402, 607
• LCM of 210, 526, 706, 931
• LCM of 734, 870, 647, 923

1. What is the LCM of 746, 812, 284, 431?

Answer: LCM of 746, 812, 284, 431 is 9268308476.

2. How to calculate the LCM of 746, 812, 284, 431?

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 746, 812, 284, 431.

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}.