Given numbers are 756,511,292,424,728

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

The LCM of 756,511,292,424,728 is 76049064.

Find LCM of 756,511,292,424,728 with Prime Factorization

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

2 x 2 x 2 x 7 x 73 x 27 x 1 x 1 x 53 x 13 = 76049064

Therefore, the lowest common multiple of 756,511,292,424,728 is 76049064.

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.

756 x 511 x 292 x 424 x 728 = 34819520246784

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

511 : 1, 7, 73, 511

292 : 1, 2, 4, 73, 146, 292

424 : 1, 2, 4, 8, 53, 106, 212, 424

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,511,292,424,728, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

511:7x 73

292:2x 2x 73

424:2x 2x 2x 53

728:2x 2x 2x 7x 13

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 2x 2x 2x 2x 2x 7x 7x 73 = 457856

Therefore, the value for common factors is 457856.

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 = 34819520246784/(1x457856)

LCM = 34819520246784/457856

LCM = 76049064

Thus, we can understand that the LCM of 756,511,292,424,728 is 76049064.

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

• LCM of 360, 306, 315, 788, 704
• LCM of 446, 247, 949, 436, 908
• LCM of 513, 775, 704, 836, 631
• LCM of 258, 958, 706, 570, 225
• LCM of 859, 120, 197, 663, 157

1. What is the LCM of 756, 511, 292, 424, 728?

Answer: LCM of 756, 511, 292, 424, 728 is 76049064.

2. How to calculate the LCM of 756, 511, 292, 424, 728?

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 756, 511, 292, 424, 728.

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}.