Given numbers are 728,418,291,387

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

The LCM of 728,418,291,387 is 5711633928.

Find LCM of 728,418,291,387 with Prime Factorization

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

2 x 3 x 364 x 209 x 97 x 129 = 5711633928

Therefore, the lowest common multiple of 728,418,291,387 is 5711633928.

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.

728 x 418 x 291 x 387 = 34269803568

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.

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

418 : 1, 2, 11, 19, 22, 38, 209, 418

291 : 1, 3, 97, 291

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,418,291,387, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

418:2x 11x 19

291:3x 97

387:3x 3x 43

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 34269803568/(1x6)

LCM = 34269803568/6

LCM = 5711633928

Thus, we can understand that the LCM of 728,418,291,387 is 5711633928.

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

• LCM of 727, 208, 925, 241
• LCM of 943, 449, 108, 549
• LCM of 506, 572, 172, 961
• LCM of 740, 545, 510, 783
• LCM of 890, 508, 143, 840

1. What is the LCM of 728, 418, 291, 387?

Answer: LCM of 728, 418, 291, 387 is 5711633928.

2. How to calculate the LCM of 728, 418, 291, 387?

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 728, 418, 291, 387.

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}.