Given numbers are 488,402,750,700

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

The LCM of 488,402,750,700 is 85827000.

Find LCM of 488,402,750,700 with Prime Factorization

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

2 x 2 x 3 x 5 x 5 x 122 x 67 x 5 x 7 = 85827000

Therefore, the lowest common multiple of 488,402,750,700 is 85827000.

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.

488 x 402 x 750 x 700 = 102992400000

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

402 : 1, 2, 3, 6, 67, 134, 201, 402

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

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,402,750,700, is 2.

Now, the common factors can be found like this.

488:2x 2x 2x 61

402:2x 3x 67

750:2x 3x 5x 5x 5

700:2x 2x 5x 5x 7

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 3x 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 102992400000/(2x600)

LCM = 102992400000/1200

LCM = 85827000

Thus, we can understand that the LCM of 488,402,750,700 is 85827000.

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

• LCM of 511, 689, 139, 471
• LCM of 886, 470, 679, 615
• LCM of 660, 987, 531, 223
• LCM of 419, 319, 288, 921
• LCM of 757, 179, 709, 820

1. What is the LCM of 488, 402, 750, 700?

Answer: LCM of 488, 402, 750, 700 is 85827000.

2. How to calculate the LCM of 488, 402, 750, 700?

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 488, 402, 750, 700.

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}.