Given numbers are 815,256,392,723

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

The LCM of 815,256,392,723 is 7391489280.

Find LCM of 815,256,392,723 with Prime Factorization

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

2 x 2 x 2 x 815 x 32 x 49 x 723 = 7391489280

Therefore, the lowest common multiple of 815,256,392,723 is 7391489280.

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.

815 x 256 x 392 x 723 = 59131914240

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.

815 : 1, 5, 163, 815

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

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

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,256,392,723, is 1.

Now, the common factors can be found like this.

815:5x 163

256:2x 2x 2x 2x 2x 2x 2x 2

392:2x 2x 2x 7x 7

723:3x 241

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 2 = 8

Therefore, the value for common factors is 8.

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 = 59131914240/(1x8)

LCM = 59131914240/8

LCM = 7391489280

Thus, we can understand that the LCM of 815,256,392,723 is 7391489280.

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

• LCM of 965, 162, 742, 405
• LCM of 200, 773, 200, 662
• LCM of 830, 918, 264, 910
• LCM of 992, 535, 447, 203
• LCM of 616, 741, 161, 514

1. What is the LCM of 815, 256, 392, 723?

Answer: LCM of 815, 256, 392, 723 is 7391489280.

2. How to calculate the LCM of 815, 256, 392, 723?

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 815, 256, 392, 723.

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}.