Given numbers are 460,263,674,207

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

The LCM of 460,263,674,207 is 366932340.

Find LCM of 460,263,674,207 with Prime Factorization

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

2 x 23 x 10 x 263 x 337 x 9 = 366932340

Therefore, the lowest common multiple of 460,263,674,207 is 366932340.

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.

460 x 263 x 674 x 207 = 16878887640

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.

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

263 : 1, 263

674 : 1, 2, 337, 674

207 : 1, 3, 9, 23, 69, 207

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,263,674,207, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

263:263

674:2x 337

207:3x 3x 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 23 = 46

Therefore, the value for common factors is 46.

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 = 16878887640/(1x46)

LCM = 16878887640/46

LCM = 366932340

Thus, we can understand that the LCM of 460,263,674,207 is 366932340.

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

• LCM of 961, 500, 662, 196
• LCM of 685, 701, 422, 680
• LCM of 933, 431, 666, 178
• LCM of 145, 206, 716, 749
• LCM of 227, 481, 591, 848

1. What is the LCM of 460, 263, 674, 207?

Answer: LCM of 460, 263, 674, 207 is 366932340.

2. How to calculate the LCM of 460, 263, 674, 207?

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 460, 263, 674, 207.

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}.