Given numbers are 806,170,416,918

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

The LCM of 806,170,416,918 is 29596320.

Find LCM of 806,170,416,918 with Prime Factorization

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

2 x 13 x 17 x 31 x 5 x 16 x 27 = 29596320

Therefore, the lowest common multiple of 806,170,416,918 is 29596320.

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.

806 x 170 x 416 x 918 = 52326293760

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.

806 : 1, 2, 13, 26, 31, 62, 403, 806

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

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,170,416,918, is 2.

Now, the common factors can be found like this.

806:2x 13x 31

170:2x 5x 17

416:2x 2x 2x 2x 2x 13

918:2x 3x 3x 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 13x 17 = 884

Therefore, the value for common factors is 884.

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 = 52326293760/(2x884)

LCM = 52326293760/1768

LCM = 29596320

Thus, we can understand that the LCM of 806,170,416,918 is 29596320.

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

• LCM of 711, 897, 938, 111
• LCM of 253, 404, 831, 121
• LCM of 680, 726, 796, 179
• LCM of 542, 924, 402, 994
• LCM of 658, 976, 299, 775

1. What is the LCM of 806, 170, 416, 918?

Answer: LCM of 806, 170, 416, 918 is 29596320.

2. How to calculate the LCM of 806, 170, 416, 918?

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 806, 170, 416, 918.

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}.