Given numbers are 533,221,509,728

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

The LCM of 533,221,509,728 is 258274744.

Find LCM of 533,221,509,728 with Prime Factorization

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

13 x 41 x 17 x 509 x 56 = 258274744

Therefore, the lowest common multiple of 533,221,509,728 is 258274744.

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.

533 x 221 x 509 x 728 = 43648431736

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.

533 : 1, 13, 41, 533

221 : 1, 13, 17, 221

509 : 1, 509

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 533,221,509,728, is 1.

Now, the common factors can be found like this.

533:13x 41

221:13x 17

509:509

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.

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 43648431736/(1x169)

LCM = 43648431736/169

LCM = 258274744

Thus, we can understand that the LCM of 533,221,509,728 is 258274744.

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

• LCM of 701, 829, 891, 316
• LCM of 883, 172, 452, 179
• LCM of 878, 156, 163, 375
• LCM of 931, 252, 550, 751
• LCM of 830, 385, 381, 564

1. What is the LCM of 533, 221, 509, 728?

Answer: LCM of 533, 221, 509, 728 is 258274744.

2. How to calculate the LCM of 533, 221, 509, 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 533, 221, 509, 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}.