Given numbers are 460,399,269,753

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

The LCM of 460,399,269,753 is 12392437260.

Find LCM of 460,399,269,753 with Prime Factorization

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

3 x 460 x 133 x 269 x 251 = 12392437260

Therefore, the lowest common multiple of 460,399,269,753 is 12392437260.

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 399 x 269 x 753 = 37177311780

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

399 : 1, 3, 7, 19, 21, 57, 133, 399

269 : 1, 269

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,399,269,753, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

399:3x 7x 19

269:269

753:3x 251

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 37177311780/(1x3)

LCM = 37177311780/3

LCM = 12392437260

Thus, we can understand that the LCM of 460,399,269,753 is 12392437260.

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

• LCM of 269, 451, 197, 179
• LCM of 779, 339, 422, 328
• LCM of 708, 108, 548, 121
• LCM of 873, 166, 991, 488
• LCM of 824, 885, 587, 333

1. What is the LCM of 460, 399, 269, 753?

Answer: LCM of 460, 399, 269, 753 is 12392437260.

2. How to calculate the LCM of 460, 399, 269, 753?

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, 399, 269, 753.

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}.