Given numbers are 120,456,646,163,912

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

The LCM of 120,456,646,163,912 is 12635760.

Find LCM of 120,456,646,163,912 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 5 x 1 x 17 x 163 x 2 = 12635760

Therefore, the lowest common multiple of 120,456,646,163,912 is 12635760.

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.

120 x 456 x 646 x 163 x 912 = 5254858782720

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.

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

646 : 1, 2, 17, 19, 34, 38, 323, 646

163 : 1, 163

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,456,646,163,912, is 1.

Now, the common factors can be found like this.

120:2x 2x 2x 3x 5

456:2x 2x 2x 3x 19

646:2x 17x 19

163:163

912:2x 2x 2x 2x 3x 19

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 2x 2x 2x 3x 3x 19x 19 = 415872

Therefore, the value for common factors is 415872.

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 = 5254858782720/(1x415872)

LCM = 5254858782720/415872

LCM = 12635760

Thus, we can understand that the LCM of 120,456,646,163,912 is 12635760.

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

• LCM of 313, 257, 346, 984, 993
• LCM of 550, 545, 824, 505, 156
• LCM of 651, 858, 521, 150, 670
• LCM of 879, 340, 901, 153, 233
• LCM of 902, 629, 383, 324, 487

1. What is the LCM of 120, 456, 646, 163, 912?

Answer: LCM of 120, 456, 646, 163, 912 is 12635760.

2. How to calculate the LCM of 120, 456, 646, 163, 912?

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 120, 456, 646, 163, 912.

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}.