Given numbers are 828,670,228,552

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

The LCM of 828,670,228,552 is 10540440.

Find LCM of 828,670,228,552 with Prime Factorization

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

2 x 2 x 3 x 23 x 3 x 335 x 19 x 2 = 10540440

Therefore, the lowest common multiple of 828,670,228,552 is 10540440.

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.

828 x 670 x 228 x 552 = 69819874560

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

670 : 1, 2, 5, 10, 67, 134, 335, 670

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,670,228,552, is 2.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

670:2x 5x 67

228:2x 2x 3x 19

552:2x 2x 2x 3x 23

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 3x 3x 23 = 3312

Therefore, the value for common factors is 3312.

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 = 69819874560/(2x3312)

LCM = 69819874560/6624

LCM = 10540440

Thus, we can understand that the LCM of 828,670,228,552 is 10540440.

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

• LCM of 460, 327, 695, 418
• LCM of 714, 654, 391, 763
• LCM of 564, 640, 255, 546
• LCM of 995, 374, 830, 933
• LCM of 940, 638, 941, 465

1. What is the LCM of 828, 670, 228, 552?

Answer: LCM of 828, 670, 228, 552 is 10540440.

2. How to calculate the LCM of 828, 670, 228, 552?

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 828, 670, 228, 552.

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}.