Given numbers are 725,378,528,221

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

The LCM of 725,378,528,221 is 5329724400.

Find LCM of 725,378,528,221 with Prime Factorization

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

2 x 3 x 725 x 63 x 88 x 221 = 5329724400

Therefore, the lowest common multiple of 725,378,528,221 is 5329724400.

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.

725 x 378 x 528 x 221 = 31978346400

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.

725 : 1, 5, 25, 29, 145, 725

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,378,528,221, is 1.

Now, the common factors can be found like this.

725:5x 5x 29

378:2x 3x 3x 3x 7

528:2x 2x 2x 2x 3x 11

221:13x 17

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 = 31978346400/(1x6)

LCM = 31978346400/6

LCM = 5329724400

Thus, we can understand that the LCM of 725,378,528,221 is 5329724400.

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

• LCM of 554, 443, 832, 765
• LCM of 323, 884, 646, 399
• LCM of 162, 514, 504, 957
• LCM of 356, 121, 953, 248
• LCM of 807, 796, 642, 956

1. What is the LCM of 725, 378, 528, 221?

Answer: LCM of 725, 378, 528, 221 is 5329724400.

2. How to calculate the LCM of 725, 378, 528, 221?

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 725, 378, 528, 221.

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}.