Given numbers are 608,214,282,739,714

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

The LCM of 608,214,282,739,714 is 806673647136.

Find LCM of 608,214,282,739,714 with Prime Factorization

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

2 x 3 x 304 x 107 x 47 x 739 x 119 = 806673647136

Therefore, the lowest common multiple of 608,214,282,739,714 is 806673647136.

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.

608 x 214 x 282 x 739 x 714 = 19360167531264

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.

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

214 : 1, 2, 107, 214

282 : 1, 2, 3, 6, 47, 94, 141, 282

739 : 1, 739

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,214,282,739,714, is 1.

Now, the common factors can be found like this.

608:2x 2x 2x 2x 2x 19

214:2x 107

282:2x 3x 47

739:739

714:2x 3x 7x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 19360167531264/(1x24)

LCM = 19360167531264/24

LCM = 806673647136

Thus, we can understand that the LCM of 608,214,282,739,714 is 806673647136.

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

• LCM of 273, 624, 943, 293, 555
• LCM of 905, 833, 176, 229, 948
• LCM of 516, 130, 434, 696, 692
• LCM of 410, 776, 831, 692, 139
• LCM of 883, 411, 798, 528, 500

1. What is the LCM of 608, 214, 282, 739, 714?

Answer: LCM of 608, 214, 282, 739, 714 is 806673647136.

2. How to calculate the LCM of 608, 214, 282, 739, 714?

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 608, 214, 282, 739, 714.

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}.