Given numbers are 146,738,994,924,460

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

The LCM of 146,738,994,924,460 is 67741706340.

Find LCM of 146,738,994,924,460 with Prime Factorization

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

2 x 2 x 3 x 7 x 73 x 123 x 71 x 11 x 115 = 67741706340

Therefore, the lowest common multiple of 146,738,994,924,460 is 67741706340.

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.

146 x 738 x 994 x 924 x 460 = 45522426660480

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.

146 : 1, 2, 73, 146

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

994 : 1, 2, 7, 14, 71, 142, 497, 994

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,738,994,924,460, is 2.

Now, the common factors can be found like this.

146:2x 73

738:2x 3x 3x 41

994:2x 7x 71

924:2x 2x 3x 7x 11

460:2x 2x 5x 23

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 7 = 336

Therefore, the value for common factors is 336.

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 = 45522426660480/(2x336)

LCM = 45522426660480/672

LCM = 67741706340

Thus, we can understand that the LCM of 146,738,994,924,460 is 67741706340.

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

• LCM of 290, 227, 144, 102, 831
• LCM of 824, 500, 373, 549, 528
• LCM of 707, 308, 633, 172, 249
• LCM of 227, 607, 728, 401, 150
• LCM of 378, 173, 892, 356, 136

1. What is the LCM of 146, 738, 994, 924, 460?

Answer: LCM of 146, 738, 994, 924, 460 is 67741706340.

2. How to calculate the LCM of 146, 738, 994, 924, 460?

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 146, 738, 994, 924, 460.

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}.