Given numbers are 540,460,964,751

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

The LCM of 540,460,964,751 is 2247908220.

Find LCM of 540,460,964,751 with Prime Factorization

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

2 x 2 x 5 x 27 x 23 x 241 x 751 = 2247908220

Therefore, the lowest common multiple of 540,460,964,751 is 2247908220.

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 964 x 751 = 179832657600

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

964 : 1, 2, 4, 241, 482, 964

751 : 1, 751

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,460,964,751, is 1.

Now, the common factors can be found like this.

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

460:2x 2x 5x 23

964:2x 2x 241

751:751

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 5 = 80

Therefore, the value for common factors is 80.

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 = 179832657600/(1x80)

LCM = 179832657600/80

LCM = 2247908220

Thus, we can understand that the LCM of 540,460,964,751 is 2247908220.

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

• LCM of 752, 755, 477, 223
• LCM of 741, 586, 913, 913
• LCM of 407, 336, 265, 724
• LCM of 194, 360, 764, 880
• LCM of 130, 499, 791, 105

1. What is the LCM of 540, 460, 964, 751?

Answer: LCM of 540, 460, 964, 751 is 2247908220.

2. How to calculate the LCM of 540, 460, 964, 751?

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, 964, 751.

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}.