Given numbers are 720,246,146,596

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

The LCM of 720,246,146,596 is 321089040.

Find LCM of 720,246,146,596 with Prime Factorization

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

2 x 2 x 3 x 60 x 41 x 73 x 149 = 321089040

Therefore, the lowest common multiple of 720,246,146,596 is 321089040.

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.

720 x 246 x 146 x 596 = 15412273920

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

246 : 1, 2, 3, 6, 41, 82, 123, 246

146 : 1, 2, 73, 146

596 : 1, 2, 4, 149, 298, 596

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,246,146,596, is 2.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

246:2x 3x 41

146:2x 73

596:2x 2x 149

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 3 = 24

Therefore, the value for common factors is 24.

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 = 15412273920/(2x24)

LCM = 15412273920/48

LCM = 321089040

Thus, we can understand that the LCM of 720,246,146,596 is 321089040.

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

• LCM of 743, 156, 380, 174
• LCM of 420, 446, 763, 439
• LCM of 492, 963, 973, 864
• LCM of 830, 347, 749, 145
• LCM of 915, 857, 737, 644

1. What is the LCM of 720, 246, 146, 596?

Answer: LCM of 720, 246, 146, 596 is 321089040.

2. How to calculate the LCM of 720, 246, 146, 596?

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 720, 246, 146, 596.

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}.