Given numbers are 540,460,862,827,452

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

The LCM of 540,460,862,827,452 is 500245072020.

Find LCM of 540,460,862,827,452 with Prime Factorization

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

2 x 2 x 5 x 27 x 23 x 431 x 827 x 113 = 500245072020

Therefore, the lowest common multiple of 540,460,862,827,452 is 500245072020.

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.

540 x 460 x 862 x 827 x 452 = 80039211523200

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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

862 : 1, 2, 431, 862

827 : 1, 827

452 : 1, 2, 4, 113, 226, 452

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,460,862,827,452, is 1.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

460:2x 2x 5x 23

862:2x 431

827:827

452:2x 2x 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 2x 2x 2x 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 80039211523200/(1x160)

LCM = 80039211523200/160

LCM = 500245072020

Thus, we can understand that the LCM of 540,460,862,827,452 is 500245072020.

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

• LCM of 415, 509, 605, 514, 188
• LCM of 767, 587, 100, 958, 837
• LCM of 201, 744, 958, 388, 544
• LCM of 255, 357, 205, 570, 141
• LCM of 859, 538, 294, 238, 609

1. What is the LCM of 540, 460, 862, 827, 452?

Answer: LCM of 540, 460, 862, 827, 452 is 500245072020.

2. How to calculate the LCM of 540, 460, 862, 827, 452?

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 540, 460, 862, 827, 452.

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}.