Given numbers are 720,600,760,718

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

The LCM of 720,600,760,718 is 24555600.

Find LCM of 720,600,760,718 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 6 x 5 x 19 x 359 = 24555600

Therefore, the lowest common multiple of 720,600,760,718 is 24555600.

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 600 x 760 x 718 = 235733760000

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

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

718 : 1, 2, 359, 718

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,600,760,718, is 2.

Now, the common factors can be found like this.

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

600:2x 2x 2x 3x 5x 5

760:2x 2x 2x 5x 19

718:2x 359

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 2x 3x 5x 5 = 4800

Therefore, the value for common factors is 4800.

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 = 235733760000/(2x4800)

LCM = 235733760000/9600

LCM = 24555600

Thus, we can understand that the LCM of 720,600,760,718 is 24555600.

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

• LCM of 927, 317, 400, 575
• LCM of 657, 453, 760, 526
• LCM of 158, 547, 394, 339
• LCM of 683, 641, 828, 270
• LCM of 398, 943, 695, 993

1. What is the LCM of 720, 600, 760, 718?

Answer: LCM of 720, 600, 760, 718 is 24555600.

2. How to calculate the LCM of 720, 600, 760, 718?

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, 600, 760, 718.

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}.