Given numbers are 725,128,416,482

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

The LCM of 725,128,416,482 is 290742400.

Find LCM of 725,128,416,482 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 725 x 4 x 13 x 241 = 290742400

Therefore, the lowest common multiple of 725,128,416,482 is 290742400.

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 128 x 416 x 482 = 18607513600

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

482 : 1, 2, 241, 482

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,128,416,482, is 1.

Now, the common factors can be found like this.

725:5x 5x 29

128:2x 2x 2x 2x 2x 2x 2

416:2x 2x 2x 2x 2x 13

482:2x 241

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 2 = 64

Therefore, the value for common factors is 64.

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 = 18607513600/(1x64)

LCM = 18607513600/64

LCM = 290742400

Thus, we can understand that the LCM of 725,128,416,482 is 290742400.

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

• LCM of 976, 661, 932, 569
• LCM of 259, 621, 371, 760
• LCM of 592, 468, 349, 379
• LCM of 314, 175, 259, 243
• LCM of 198, 150, 254, 260

1. What is the LCM of 725, 128, 416, 482?

Answer: LCM of 725, 128, 416, 482 is 290742400.

2. How to calculate the LCM of 725, 128, 416, 482?

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, 128, 416, 482.

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}.