Given numbers are 271,136,102,940,924

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

The LCM of 271,136,102,940,924 is 2000727960.

Find LCM of 271,136,102,940,924 with Prime Factorization

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

2 x 2 x 3 x 17 x 271 x 2 x 1 x 235 x 77 = 2000727960

Therefore, the lowest common multiple of 271,136,102,940,924 is 2000727960.

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.

271 x 136 x 102 x 940 x 924 = 3265188030720

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.

271 : 1, 271

136 : 1, 2, 4, 8, 17, 34, 68, 136

102 : 1, 2, 3, 6, 17, 34, 51, 102

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,136,102,940,924, is 1.

Now, the common factors can be found like this.

271:271

136:2x 2x 2x 17

102:2x 3x 17

940:2x 2x 5x 47

924:2x 2x 3x 7x 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 2x 3x 17 = 1632

Therefore, the value for common factors is 1632.

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 = 3265188030720/(1x1632)

LCM = 3265188030720/1632

LCM = 2000727960

Thus, we can understand that the LCM of 271,136,102,940,924 is 2000727960.

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

• LCM of 949, 861, 960, 619, 441
• LCM of 451, 104, 921, 279, 465
• LCM of 244, 761, 877, 742, 639
• LCM of 452, 706, 248, 548, 232
• LCM of 723, 757, 858, 818, 770

1. What is the LCM of 271, 136, 102, 940, 924?

Answer: LCM of 271, 136, 102, 940, 924 is 2000727960.

2. How to calculate the LCM of 271, 136, 102, 940, 924?

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 271, 136, 102, 940, 924.

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}.