Given numbers are 460,734,826

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

The LCM of 460,734,826 is 69722660.

Find LCM of 460,734,826 with Prime Factorization

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

2 x 230 x 367 x 413 = 69722660

Therefore, the lowest common multiple of 460,734,826 is 69722660.

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.

460 x 734 x 826 = 278890640

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.

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

734 : 1, 2, 367, 734

826 : 1, 2, 7, 14, 59, 118, 413, 826

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,734,826, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

734:2x 367

826:2x 7x 59

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

2 = 2

Therefore, the value for common factors is 2.

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 = 278890640/(2x2)

LCM = 278890640/4

LCM = 69722660

Thus, we can understand that the LCM of 460,734,826 is 69722660.

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

• LCM of 747, 327, 340
• LCM of 803, 778, 378
• LCM of 143, 717, 908
• LCM of 991, 307, 482
• LCM of 870, 367, 896

1. What is the LCM of 460, 734, 826?

Answer: LCM of 460, 734, 826 is 69722660.

2. How to calculate the LCM of 460, 734, 826?

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 460, 734, 826.

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}.