Given numbers are 740,540,824,772

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

The LCM of 740,540,824,772 is 794364840.

Find LCM of 740,540,824,772 with Prime Factorization

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

2 x 2 x 5 x 37 x 27 x 206 x 193 = 794364840

Therefore, the lowest common multiple of 740,540,824,772 is 794364840.

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.

740 x 540 x 824 x 772 = 254196748800

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.

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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

824 : 1, 2, 4, 8, 103, 206, 412, 824

772 : 1, 2, 4, 193, 386, 772

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,540,824,772, is 4.

Now, the common factors can be found like this.

740:2x 2x 5x 37

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

824:2x 2x 2x 103

772:2x 2x 193

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 = 254196748800/(4x80)

LCM = 254196748800/320

LCM = 794364840

Thus, we can understand that the LCM of 740,540,824,772 is 794364840.

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

• LCM of 498, 814, 454, 940
• LCM of 404, 812, 274, 338
• LCM of 326, 747, 608, 887
• LCM of 365, 899, 339, 637
• LCM of 808, 890, 415, 134

1. What is the LCM of 740, 540, 824, 772?

Answer: LCM of 740, 540, 824, 772 is 794364840.

2. How to calculate the LCM of 740, 540, 824, 772?

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 740, 540, 824, 772.

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}.