Given numbers are 163,814,460,868,208

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

The LCM of 163,814,460,868,208 is 344352248240.

Find LCM of 163,814,460,868,208 with Prime Factorization

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

2 x 2 x 163 x 407 x 115 x 217 x 52 = 344352248240

Therefore, the lowest common multiple of 163,814,460,868,208 is 344352248240.

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.

163 x 814 x 460 x 868 x 208 = 11019271943680

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.

163 : 1, 163

814 : 1, 2, 11, 22, 37, 74, 407, 814

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 163,814,460,868,208, is 1.

Now, the common factors can be found like this.

163:163

814:2x 11x 37

460:2x 2x 5x 23

868:2x 2x 7x 31

208:2x 2x 2x 2x 13

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 2 = 32

Therefore, the value for common factors is 32.

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 = 11019271943680/(1x32)

LCM = 11019271943680/32

LCM = 344352248240

Thus, we can understand that the LCM of 163,814,460,868,208 is 344352248240.

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

• LCM of 486, 408, 340, 747, 449
• LCM of 679, 879, 268, 976, 880
• LCM of 465, 814, 248, 783, 826
• LCM of 970, 705, 757, 506, 909
• LCM of 558, 986, 413, 214, 798

1. What is the LCM of 163, 814, 460, 868, 208?

Answer: LCM of 163, 814, 460, 868, 208 is 344352248240.

2. How to calculate the LCM of 163, 814, 460, 868, 208?

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 163, 814, 460, 868, 208.

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}.