Given numbers are 689,744,552,720

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

The LCM of 689,744,552,720 is 353705040.

Find LCM of 689,744,552,720 with Prime Factorization

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

2 x 2 x 2 x 3 x 689 x 31 x 23 x 30 = 353705040

Therefore, the lowest common multiple of 689,744,552,720 is 353705040.

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.

689 x 744 x 552 x 720 = 203734103040

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.

689 : 1, 13, 53, 689

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,744,552,720, is 1.

Now, the common factors can be found like this.

689:13x 53

744:2x 2x 2x 3x 31

552:2x 2x 2x 3x 23

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

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 3 = 576

Therefore, the value for common factors is 576.

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 = 203734103040/(1x576)

LCM = 203734103040/576

LCM = 353705040

Thus, we can understand that the LCM of 689,744,552,720 is 353705040.

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

• LCM of 200, 692, 404, 836
• LCM of 157, 917, 327, 994
• LCM of 738, 221, 105, 165
• LCM of 128, 876, 788, 949
• LCM of 845, 288, 536, 793

1. What is the LCM of 689, 744, 552, 720?

Answer: LCM of 689, 744, 552, 720 is 353705040.

2. How to calculate the LCM of 689, 744, 552, 720?

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 689, 744, 552, 720.

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}.