Given numbers are 812,296,460,738

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

The LCM of 812,296,460,738 is 2549834280.

Find LCM of 812,296,460,738 with Prime Factorization

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

2 x 2 x 203 x 74 x 115 x 369 = 2549834280

Therefore, the lowest common multiple of 812,296,460,738 is 2549834280.

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.

812 x 296 x 460 x 738 = 81594696960

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.

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

296 : 1, 2, 4, 8, 37, 74, 148, 296

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,296,460,738, is 2.

Now, the common factors can be found like this.

812:2x 2x 7x 29

296:2x 2x 2x 37

460:2x 2x 5x 23

738:2x 3x 3x 41

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 2 = 16

Therefore, the value for common factors is 16.

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 = 81594696960/(2x16)

LCM = 81594696960/32

LCM = 2549834280

Thus, we can understand that the LCM of 812,296,460,738 is 2549834280.

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

• LCM of 248, 150, 487, 691
• LCM of 492, 662, 425, 565
• LCM of 674, 565, 432, 942
• LCM of 822, 312, 406, 584
• LCM of 235, 159, 759, 928

1. What is the LCM of 812, 296, 460, 738?

Answer: LCM of 812, 296, 460, 738 is 2549834280.

2. How to calculate the LCM of 812, 296, 460, 738?

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 812, 296, 460, 738.

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}.