Given numbers are 688,812,506,804

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

The LCM of 688,812,506,804 is 7102333392.

Find LCM of 688,812,506,804 with Prime Factorization

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

2 x 2 x 172 x 203 x 253 x 201 = 7102333392

Therefore, the lowest common multiple of 688,812,506,804 is 7102333392.

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.

688 x 812 x 506 x 804 = 227274668544

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.

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

506 : 1, 2, 11, 22, 23, 46, 253, 506

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,812,506,804, is 2.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

812:2x 2x 7x 29

506:2x 11x 23

804:2x 2x 3x 67

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 2 = 16

Therefore, the value for common factors is 16.

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 = 227274668544/(2x16)

LCM = 227274668544/32

LCM = 7102333392

Thus, we can understand that the LCM of 688,812,506,804 is 7102333392.

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

• LCM of 899, 342, 518, 112
• LCM of 750, 802, 928, 993
• LCM of 546, 398, 915, 737
• LCM of 861, 745, 632, 676
• LCM of 216, 270, 265, 854

1. What is the LCM of 688, 812, 506, 804?

Answer: LCM of 688, 812, 506, 804 is 7102333392.

2. How to calculate the LCM of 688, 812, 506, 804?

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 688, 812, 506, 804.

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}.