Given numbers are 880,992,360,484

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

The LCM of 880,992,360,484 is 5401440.

Find LCM of 880,992,360,484 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 11 x 1 x 62 x 9 x 11 = 5401440

Therefore, the lowest common multiple of 880,992,360,484 is 5401440.

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.

880 x 992 x 360 x 484 = 152104550400

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.

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,992,360,484, is 4.

Now, the common factors can be found like this.

880:2x 2x 2x 2x 5x 11

992:2x 2x 2x 2x 2x 31

360:2x 2x 2x 3x 3x 5

484:2x 2x 11x 11

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 5x 11 = 7040

Therefore, the value for common factors is 7040.

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 = 152104550400/(4x7040)

LCM = 152104550400/28160

LCM = 5401440

Thus, we can understand that the LCM of 880,992,360,484 is 5401440.

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

• LCM of 440, 157, 915, 459
• LCM of 178, 807, 803, 401
• LCM of 998, 585, 143, 548
• LCM of 530, 479, 534, 131
• LCM of 398, 304, 309, 705

1. What is the LCM of 880, 992, 360, 484?

Answer: LCM of 880, 992, 360, 484 is 5401440.

2. How to calculate the LCM of 880, 992, 360, 484?

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 880, 992, 360, 484.

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}.