Given numbers are 280,920,890,146,964

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

The LCM of 280,920,890,146,964 is 10083603880.

Find LCM of 280,920,890,146,964 with Prime Factorization

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

2 x 2 x 2 x 5 x 7 x 23 x 89 x 73 x 241 = 10083603880

Therefore, the lowest common multiple of 280,920,890,146,964 is 10083603880.

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 920 x 890 x 146 x 964 = 32267532416000

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

890 : 1, 2, 5, 10, 89, 178, 445, 890

146 : 1, 2, 73, 146

964 : 1, 2, 4, 241, 482, 964

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,920,890,146,964, is 2.

Now, the common factors can be found like this.

280:2x 2x 2x 5x 7

920:2x 2x 2x 5x 23

890:2x 5x 89

146:2x 73

964:2x 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 2x 5x 5 = 1600

Therefore, the value for common factors is 1600.

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 = 32267532416000/(2x1600)

LCM = 32267532416000/3200

LCM = 10083603880

Thus, we can understand that the LCM of 280,920,890,146,964 is 10083603880.

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

• LCM of 773, 468, 851, 803, 371
• LCM of 673, 700, 991, 740, 370
• LCM of 973, 344, 512, 648, 915
• LCM of 591, 140, 673, 487, 587
• LCM of 462, 869, 433, 431, 462

1. What is the LCM of 280, 920, 890, 146, 964?

Answer: LCM of 280, 920, 890, 146, 964 is 10083603880.

2. How to calculate the LCM of 280, 920, 890, 146, 964?

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, 920, 890, 146, 964.

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}.