Given numbers are 752,688,762,816

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

The LCM of 752,688,762,816 is 209440272.

Find LCM of 752,688,762,816 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 47 x 43 x 127 x 17 = 209440272

Therefore, the lowest common multiple of 752,688,762,816 is 209440272.

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.

752 x 688 x 762 x 816 = 321700257792

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.

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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

762 : 1, 2, 3, 6, 127, 254, 381, 762

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,688,762,816, is 2.

Now, the common factors can be found like this.

752:2x 2x 2x 2x 47

688:2x 2x 2x 2x 43

762:2x 3x 127

816:2x 2x 2x 2x 3x 17

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 2x 2x 2x 3 = 768

Therefore, the value for common factors is 768.

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 = 321700257792/(2x768)

LCM = 321700257792/1536

LCM = 209440272

Thus, we can understand that the LCM of 752,688,762,816 is 209440272.

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

• LCM of 512, 494, 482, 136
• LCM of 586, 657, 612, 581
• LCM of 143, 595, 798, 137
• LCM of 863, 609, 856, 829
• LCM of 879, 875, 801, 171

1. What is the LCM of 752, 688, 762, 816?

Answer: LCM of 752, 688, 762, 816 is 209440272.

2. How to calculate the LCM of 752, 688, 762, 816?

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 752, 688, 762, 816.

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}.