Given numbers are 468,688,953,940

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

The LCM of 468,688,953,940 is 18027481680.

Find LCM of 468,688,953,940 with Prime Factorization

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

2 x 2 x 117 x 172 x 953 x 235 = 18027481680

Therefore, the lowest common multiple of 468,688,953,940 is 18027481680.

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.

468 x 688 x 953 x 940 = 288439706880

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

953 : 1, 953

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,688,953,940, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

688:2x 2x 2x 2x 43

953:953

940:2x 2x 5x 47

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 2 = 16

Therefore, the value for common factors is 16.

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 = 288439706880/(1x16)

LCM = 288439706880/16

LCM = 18027481680

Thus, we can understand that the LCM of 468,688,953,940 is 18027481680.

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

• LCM of 811, 587, 316, 384
• LCM of 455, 368, 969, 541
• LCM of 517, 507, 250, 783
• LCM of 506, 638, 479, 252
• LCM of 261, 627, 832, 377

1. What is the LCM of 468, 688, 953, 940?

Answer: LCM of 468, 688, 953, 940 is 18027481680.

2. How to calculate the LCM of 468, 688, 953, 940?

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 468, 688, 953, 940.

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}.