Given numbers are 784,317,406,423

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

The LCM of 784,317,406,423 is 3048692976.

Find LCM of 784,317,406,423 with Prime Factorization

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

2 x 7 x 56 x 317 x 29 x 423 = 3048692976

Therefore, the lowest common multiple of 784,317,406,423 is 3048692976.

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.

784 x 317 x 406 x 423 = 42681701664

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.

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

317 : 1, 317

406 : 1, 2, 7, 14, 29, 58, 203, 406

423 : 1, 3, 9, 47, 141, 423

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,317,406,423, is 1.

Now, the common factors can be found like this.

784:2x 2x 2x 2x 7x 7

317:317

406:2x 7x 29

423:3x 3x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 42681701664/(1x14)

LCM = 42681701664/14

LCM = 3048692976

Thus, we can understand that the LCM of 784,317,406,423 is 3048692976.

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

• LCM of 791, 634, 810, 593
• LCM of 961, 254, 978, 518
• LCM of 982, 158, 688, 755
• LCM of 313, 954, 677, 597
• LCM of 924, 996, 342, 876

1. What is the LCM of 784, 317, 406, 423?

Answer: LCM of 784, 317, 406, 423 is 3048692976.

2. How to calculate the LCM of 784, 317, 406, 423?

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 784, 317, 406, 423.

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}.