Given numbers are 702,262,674,170,966

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

The LCM of 702,262,674,170,966 is 424114489890.

Find LCM of 702,262,674,170,966 with Prime Factorization

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

2 x 3 x 117 x 131 x 337 x 85 x 161 = 424114489890

Therefore, the lowest common multiple of 702,262,674,170,966 is 424114489890.

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.

702 x 262 x 674 x 170 x 966 = 20357495514720

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.

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

262 : 1, 2, 131, 262

674 : 1, 2, 337, 674

170 : 1, 2, 5, 10, 17, 34, 85, 170

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,262,674,170,966, is 2.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

262:2x 131

674:2x 337

170:2x 5x 17

966:2x 3x 7x 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 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 = 20357495514720/(2x24)

LCM = 20357495514720/48

LCM = 424114489890

Thus, we can understand that the LCM of 702,262,674,170,966 is 424114489890.

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

• LCM of 645, 210, 242, 817, 727
• LCM of 758, 633, 626, 678, 925
• LCM of 745, 423, 213, 828, 578
• LCM of 281, 106, 467, 859, 866
• LCM of 430, 149, 894, 473, 654

1. What is the LCM of 702, 262, 674, 170, 966?

Answer: LCM of 702, 262, 674, 170, 966 is 424114489890.

2. How to calculate the LCM of 702, 262, 674, 170, 966?

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 702, 262, 674, 170, 966.

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}.