Given numbers are 117,462,192,440

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

The LCM of 117,462,192,440 is 2882880.

Find LCM of 117,462,192,440 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 39 x 7 x 8 x 5 = 2882880

Therefore, the lowest common multiple of 117,462,192,440 is 2882880.

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.

117 x 462 x 192 x 440 = 4566481920

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.

117 : 1, 3, 9, 13, 39, 117

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,462,192,440, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

462:2x 3x 7x 11

192:2x 2x 2x 2x 2x 2x 3

440:2x 2x 2x 5x 11

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 3x 3x 11 = 1584

Therefore, the value for common factors is 1584.

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 = 4566481920/(1x1584)

LCM = 4566481920/1584

LCM = 2882880

Thus, we can understand that the LCM of 117,462,192,440 is 2882880.

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

• LCM of 629, 837, 814, 777
• LCM of 413, 193, 735, 961
• LCM of 296, 784, 770, 791
• LCM of 859, 778, 550, 799
• LCM of 610, 453, 927, 263

1. What is the LCM of 117, 462, 192, 440?

Answer: LCM of 117, 462, 192, 440 is 2882880.

2. How to calculate the LCM of 117, 462, 192, 440?

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 117, 462, 192, 440.

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}.