Given numbers are 814,406,743,464

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

The LCM of 814,406,743,464 is 982198448.

Find LCM of 814,406,743,464 with Prime Factorization

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

2 x 29 x 407 x 7 x 743 x 8 = 982198448

Therefore, the lowest common multiple of 814,406,743,464 is 982198448.

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.

814 x 406 x 743 x 464 = 113935019968

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

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

743 : 1, 743

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,406,743,464, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

406:2x 7x 29

743:743

464:2x 2x 2x 2x 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 29 = 116

Therefore, the value for common factors is 116.

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 = 113935019968/(1x116)

LCM = 113935019968/116

LCM = 982198448

Thus, we can understand that the LCM of 814,406,743,464 is 982198448.

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

• LCM of 803, 642, 947, 649
• LCM of 968, 959, 748, 104
• LCM of 943, 449, 386, 834
• LCM of 485, 495, 568, 275
• LCM of 847, 168, 302, 224

1. What is the LCM of 814, 406, 743, 464?

Answer: LCM of 814, 406, 743, 464 is 982198448.

2. How to calculate the LCM of 814, 406, 743, 464?

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 814, 406, 743, 464.

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}.