Given numbers are 280,192,128,648,125

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

The LCM of 280,192,128,648,125 is 9072000.

Find LCM of 280,192,128,648,125 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 1 x 2 x 27 x 25 = 9072000

Therefore, the lowest common multiple of 280,192,128,648,125 is 9072000.

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.

280 x 192 x 128 x 648 x 125 = 557383680000

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.

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

125 : 1, 5, 25, 125

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,192,128,648,125, is 1.

Now, the common factors can be found like this.

280:2x 2x 2x 5x 7

192:2x 2x 2x 2x 2x 2x 3

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

648:2x 2x 2x 3x 3x 3x 3

125:5x 5x 5

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 2x 2x 2x 2x 2x 2x 2x 3x 5 = 61440

Therefore, the value for common factors is 61440.

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 = 557383680000/(1x61440)

LCM = 557383680000/61440

LCM = 9072000

Thus, we can understand that the LCM of 280,192,128,648,125 is 9072000.

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

• LCM of 771, 908, 739, 821, 578
• LCM of 975, 782, 288, 957, 945
• LCM of 496, 355, 951, 382, 537
• LCM of 843, 120, 827, 768, 353
• LCM of 893, 804, 194, 575, 644

1. What is the LCM of 280, 192, 128, 648, 125?

Answer: LCM of 280, 192, 128, 648, 125 is 9072000.

2. How to calculate the LCM of 280, 192, 128, 648, 125?

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 280, 192, 128, 648, 125.

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}.