Given numbers are 488,214,357,802

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

The LCM of 488,214,357,802 is 7475085912.

Find LCM of 488,214,357,802 with Prime Factorization

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

2 x 244 x 107 x 357 x 401 = 7475085912

Therefore, the lowest common multiple of 488,214,357,802 is 7475085912.

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 214 x 357 x 802 = 29900343648

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

214 : 1, 2, 107, 214

357 : 1, 3, 7, 17, 21, 51, 119, 357

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,214,357,802, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

214:2x 107

357:3x 7x 17

802:2x 401

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 29900343648/(1x4)

LCM = 29900343648/4

LCM = 7475085912

Thus, we can understand that the LCM of 488,214,357,802 is 7475085912.

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

• LCM of 495, 382, 662, 229
• LCM of 884, 695, 872, 809
• LCM of 539, 683, 690, 476
• LCM of 303, 925, 942, 162
• LCM of 506, 744, 879, 500

1. What is the LCM of 488, 214, 357, 802?

Answer: LCM of 488, 214, 357, 802 is 7475085912.

2. How to calculate the LCM of 488, 214, 357, 802?

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, 214, 357, 802.

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}.