Given numbers are 884,480,312,750

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

The LCM of 884,480,312,750 is 2652000.

Find LCM of 884,480,312,750 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 13 x 17 x 4 x 1 x 25 = 2652000

Therefore, the lowest common multiple of 884,480,312,750 is 2652000.

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.

884 x 480 x 312 x 750 = 99290880000

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.

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,480,312,750, is 2.

Now, the common factors can be found like this.

884:2x 2x 13x 17

480:2x 2x 2x 2x 2x 3x 5

312:2x 2x 2x 3x 13

750:2x 3x 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 3x 3x 5x 13 = 18720

Therefore, the value for common factors is 18720.

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 = 99290880000/(2x18720)

LCM = 99290880000/37440

LCM = 2652000

Thus, we can understand that the LCM of 884,480,312,750 is 2652000.

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

• LCM of 505, 441, 443, 934
• LCM of 815, 992, 239, 448
• LCM of 182, 834, 179, 779
• LCM of 192, 749, 815, 165
• LCM of 343, 790, 719, 461

1. What is the LCM of 884, 480, 312, 750?

Answer: LCM of 884, 480, 312, 750 is 2652000.

2. How to calculate the LCM of 884, 480, 312, 750?

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 884, 480, 312, 750.

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}.