Given numbers are 233,460,426,565

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

The LCM of 233,460,426,565 is 2579715420.

Find LCM of 233,460,426,565 with Prime Factorization

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

2 x 5 x 233 x 46 x 213 x 113 = 2579715420

Therefore, the lowest common multiple of 233,460,426,565 is 2579715420.

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.

233 x 460 x 426 x 565 = 25797154200

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.

233 : 1, 233

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

426 : 1, 2, 3, 6, 71, 142, 213, 426

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,460,426,565, is 1.

Now, the common factors can be found like this.

233:233

460:2x 2x 5x 23

426:2x 3x 71

565:5x 113

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 25797154200/(1x10)

LCM = 25797154200/10

LCM = 2579715420

Thus, we can understand that the LCM of 233,460,426,565 is 2579715420.

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

• LCM of 729, 180, 745, 111
• LCM of 615, 597, 912, 412
• LCM of 782, 233, 535, 384
• LCM of 274, 136, 536, 415
• LCM of 159, 625, 645, 970

1. What is the LCM of 233, 460, 426, 565?

Answer: LCM of 233, 460, 426, 565 is 2579715420.

2. How to calculate the LCM of 233, 460, 426, 565?

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 233, 460, 426, 565.

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}.