Given numbers are 748,430,585,812

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

The LCM of 748,430,585,812 is 3819635820.

Find LCM of 748,430,585,812 with Prime Factorization

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

2 x 2 x 5 x 187 x 43 x 117 x 203 = 3819635820

Therefore, the lowest common multiple of 748,430,585,812 is 3819635820.

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.

748 x 430 x 585 x 812 = 152785432800

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

430 : 1, 2, 5, 10, 43, 86, 215, 430

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,430,585,812, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

430:2x 5x 43

585:3x 3x 5x 13

812:2x 2x 7x 29

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 5 = 40

Therefore, the value for common factors is 40.

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 = 152785432800/(1x40)

LCM = 152785432800/40

LCM = 3819635820

Thus, we can understand that the LCM of 748,430,585,812 is 3819635820.

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

• LCM of 940, 237, 681, 656
• LCM of 857, 228, 903, 967
• LCM of 697, 967, 874, 659
• LCM of 696, 636, 726, 873
• LCM of 722, 354, 197, 555

1. What is the LCM of 748, 430, 585, 812?

Answer: LCM of 748, 430, 585, 812 is 3819635820.

2. How to calculate the LCM of 748, 430, 585, 812?

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 748, 430, 585, 812.

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}.