Given numbers are 790,319,232,723

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

The LCM of 790,319,232,723 is 728812920.

Find LCM of 790,319,232,723 with Prime Factorization

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

2 x 29 x 395 x 11 x 4 x 723 = 728812920

Therefore, the lowest common multiple of 790,319,232,723 is 728812920.

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.

790 x 319 x 232 x 723 = 42271149360

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.

790 : 1, 2, 5, 10, 79, 158, 395, 790

319 : 1, 11, 29, 319

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

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,319,232,723, is 1.

Now, the common factors can be found like this.

790:2x 5x 79

319:11x 29

232:2x 2x 2x 29

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 29 = 58

Therefore, the value for common factors is 58.

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 = 42271149360/(1x58)

LCM = 42271149360/58

LCM = 728812920

Thus, we can understand that the LCM of 790,319,232,723 is 728812920.

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

• LCM of 603, 953, 953, 144
• LCM of 455, 776, 536, 669
• LCM of 884, 214, 940, 651
• LCM of 739, 886, 343, 825
• LCM of 921, 235, 896, 115

1. What is the LCM of 790, 319, 232, 723?

Answer: LCM of 790, 319, 232, 723 is 728812920.

2. How to calculate the LCM of 790, 319, 232, 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 790, 319, 232, 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}.