Given numbers are 293,325,728,738

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

The LCM of 293,325,728,738 is 1967729400.

Find LCM of 293,325,728,738 with Prime Factorization

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

2 x 13 x 293 x 25 x 28 x 369 = 1967729400

Therefore, the lowest common multiple of 293,325,728,738 is 1967729400.

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.

293 x 325 x 728 x 738 = 51160964400

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.

293 : 1, 293

325 : 1, 5, 13, 25, 65, 325

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,325,728,738, is 1.

Now, the common factors can be found like this.

293:293

325:5x 5x 13

728:2x 2x 2x 7x 13

738:2x 3x 3x 41

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 51160964400/(1x26)

LCM = 51160964400/26

LCM = 1967729400

Thus, we can understand that the LCM of 293,325,728,738 is 1967729400.

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

• LCM of 442, 111, 653, 501
• LCM of 990, 929, 482, 797
• LCM of 460, 456, 851, 663
• LCM of 562, 383, 982, 943
• LCM of 928, 858, 494, 280

1. What is the LCM of 293, 325, 728, 738?

Answer: LCM of 293, 325, 728, 738 is 1967729400.

2. How to calculate the LCM of 293, 325, 728, 738?

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 293, 325, 728, 738.

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}.