Given numbers are 686,760,338,184,661

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

The LCM of 686,760,338,184,661 is 669766948760.

Find LCM of 686,760,338,184,661 with Prime Factorization

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

2 x 2 x 2 x 343 x 95 x 169 x 23 x 661 = 669766948760

Therefore, the lowest common multiple of 686,760,338,184,661 is 669766948760.

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.

686 x 760 x 338 x 184 x 661 = 21432542360320

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.

686 : 1, 2, 7, 14, 49, 98, 343, 686

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

338 : 1, 2, 13, 26, 169, 338

184 : 1, 2, 4, 8, 23, 46, 92, 184

661 : 1, 661

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,760,338,184,661, is 1.

Now, the common factors can be found like this.

686:2x 7x 7x 7

760:2x 2x 2x 5x 19

338:2x 13x 13

184:2x 2x 2x 23

661:661

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 2 = 32

Therefore, the value for common factors is 32.

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 = 21432542360320/(1x32)

LCM = 21432542360320/32

LCM = 669766948760

Thus, we can understand that the LCM of 686,760,338,184,661 is 669766948760.

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

• LCM of 651, 764, 813, 983, 260
• LCM of 693, 976, 299, 495, 474
• LCM of 712, 359, 783, 120, 327
• LCM of 558, 760, 336, 223, 384
• LCM of 179, 393, 388, 559, 833

1. What is the LCM of 686, 760, 338, 184, 661?

Answer: LCM of 686, 760, 338, 184, 661 is 669766948760.

2. How to calculate the LCM of 686, 760, 338, 184, 661?

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 686, 760, 338, 184, 661.

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}.