Given numbers are 746,236,460

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

The LCM of 746,236,460 is 10123220.

Find LCM of 746,236,460 with Prime Factorization

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

2 x 2 x 373 x 59 x 115 = 10123220

Therefore, the lowest common multiple of 746,236,460 is 10123220.

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.

746 x 236 x 460 = 80985760

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.

746 : 1, 2, 373, 746

236 : 1, 2, 4, 59, 118, 236

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 746,236,460, is 2.

Now, the common factors can be found like this.

746:2x 373

236:2x 2x 59

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 2 = 4

Therefore, the value for common factors is 4.

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 = 80985760/(2x4)

LCM = 80985760/8

LCM = 10123220

Thus, we can understand that the LCM of 746,236,460 is 10123220.

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

• LCM of 244, 645, 705
• LCM of 819, 429, 482
• LCM of 115, 549, 587
• LCM of 710, 890, 772
• LCM of 293, 361, 260

1. What is the LCM of 746, 236, 460?

Answer: LCM of 746, 236, 460 is 10123220.

2. How to calculate the LCM of 746, 236, 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 746, 236, 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}.