Given numbers are 644,680,728,652

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

The LCM of 644,680,728,652 is 231988120.

Find LCM of 644,680,728,652 with Prime Factorization

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

2 x 2 x 2 x 7 x 23 x 85 x 13 x 163 = 231988120

Therefore, the lowest common multiple of 644,680,728,652 is 231988120.

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.

644 x 680 x 728 x 652 = 207861355520

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.

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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

652 : 1, 2, 4, 163, 326, 652

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,680,728,652, is 4.

Now, the common factors can be found like this.

644:2x 2x 7x 23

680:2x 2x 2x 5x 17

728:2x 2x 2x 7x 13

652:2x 2x 163

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 7 = 224

Therefore, the value for common factors is 224.

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 = 207861355520/(4x224)

LCM = 207861355520/896

LCM = 231988120

Thus, we can understand that the LCM of 644,680,728,652 is 231988120.

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

• LCM of 409, 440, 760, 109
• LCM of 323, 254, 695, 890
• LCM of 758, 670, 889, 901
• LCM of 172, 988, 253, 414
• LCM of 796, 779, 566, 513

1. What is the LCM of 644, 680, 728, 652?

Answer: LCM of 644, 680, 728, 652 is 231988120.

2. How to calculate the LCM of 644, 680, 728, 652?

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 644, 680, 728, 652.

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}.