Given numbers are 734,626,460,461

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

The LCM of 734,626,460,461 is 24359544260.

Find LCM of 734,626,460,461 with Prime Factorization

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

2 x 367 x 313 x 230 x 461 = 24359544260

Therefore, the lowest common multiple of 734,626,460,461 is 24359544260.

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.

734 x 626 x 460 x 461 = 97438177040

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.

734 : 1, 2, 367, 734

626 : 1, 2, 313, 626

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

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,626,460,461, is 1.

Now, the common factors can be found like this.

734:2x 367

626:2x 313

460:2x 2x 5x 23

461:461

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 97438177040/(1x4)

LCM = 97438177040/4

LCM = 24359544260

Thus, we can understand that the LCM of 734,626,460,461 is 24359544260.

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

• LCM of 108, 788, 463, 560
• LCM of 839, 388, 522, 594
• LCM of 361, 222, 888, 873
• LCM of 465, 314, 251, 296
• LCM of 875, 186, 699, 973

1. What is the LCM of 734, 626, 460, 461?

Answer: LCM of 734, 626, 460, 461 is 24359544260.

2. How to calculate the LCM of 734, 626, 460, 461?

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 734, 626, 460, 461.

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}.