Given numbers are 456,674,489,812

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

The LCM of 456,674,489,812 is 5084852808.

Find LCM of 456,674,489,812 with Prime Factorization

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

2 x 2 x 3 x 38 x 337 x 163 x 203 = 5084852808

Therefore, the lowest common multiple of 456,674,489,812 is 5084852808.

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.

456 x 674 x 489 x 812 = 122036467392

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.

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

674 : 1, 2, 337, 674

489 : 1, 3, 163, 489

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 456,674,489,812, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

674:2x 337

489:3x 163

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 3 = 24

Therefore, the value for common factors is 24.

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 = 122036467392/(1x24)

LCM = 122036467392/24

LCM = 5084852808

Thus, we can understand that the LCM of 456,674,489,812 is 5084852808.

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

• LCM of 215, 633, 388, 960
• LCM of 784, 834, 593, 719
• LCM of 570, 805, 690, 679
• LCM of 549, 520, 626, 109
• LCM of 474, 928, 232, 943

1. What is the LCM of 456, 674, 489, 812?

Answer: LCM of 456, 674, 489, 812 is 5084852808.

2. How to calculate the LCM of 456, 674, 489, 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 456, 674, 489, 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}.