Given numbers are 728,504,471,829

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

The LCM of 728,504,471,829 is 852762456.

Find LCM of 728,504,471,829 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 13 x 3 x 157 x 829 = 852762456

Therefore, the lowest common multiple of 728,504,471,829 is 852762456.

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 504 x 471 x 829 = 143264092608

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

471 : 1, 3, 157, 471

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,504,471,829, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

504:2x 2x 2x 3x 3x 7

471:3x 157

829:829

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 3x 7 = 168

Therefore, the value for common factors is 168.

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 = 143264092608/(1x168)

LCM = 143264092608/168

LCM = 852762456

Thus, we can understand that the LCM of 728,504,471,829 is 852762456.

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

• LCM of 156, 190, 150, 225
• LCM of 380, 345, 186, 623
• LCM of 381, 172, 605, 963
• LCM of 502, 221, 252, 687
• LCM of 596, 850, 598, 537

1. What is the LCM of 728, 504, 471, 829?

Answer: LCM of 728, 504, 471, 829 is 852762456.

2. How to calculate the LCM of 728, 504, 471, 829?

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, 504, 471, 829.

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}.