Given numbers are 737,285,750,190,768

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

The LCM of 737,285,750,190,768 is 1344288000.

Find LCM of 737,285,750,190,768 with Prime Factorization

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

2 x 3 x 5 x 19 x 737 x 1 x 25 x 1 x 128 = 1344288000

Therefore, the lowest common multiple of 737,285,750,190,768 is 1344288000.

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.

737 x 285 x 750 x 190 x 768 = 22987324800000

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.

737 : 1, 11, 67, 737

285 : 1, 3, 5, 15, 19, 57, 95, 285

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

190 : 1, 2, 5, 10, 19, 38, 95, 190

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,285,750,190,768, is 1.

Now, the common factors can be found like this.

737:11x 67

285:3x 5x 19

750:2x 3x 5x 5x 5

190:2x 5x 19

768:2x 2x 2x 2x 2x 2x 2x 2x 3

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 3x 3x 5x 5x 19 = 17100

Therefore, the value for common factors is 17100.

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 = 22987324800000/(1x17100)

LCM = 22987324800000/17100

LCM = 1344288000

Thus, we can understand that the LCM of 737,285,750,190,768 is 1344288000.

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

• LCM of 384, 601, 460, 388, 229
• LCM of 980, 392, 850, 575, 800
• LCM of 200, 321, 599, 303, 968
• LCM of 423, 689, 435, 530, 347
• LCM of 686, 140, 862, 499, 481

1. What is the LCM of 737, 285, 750, 190, 768?

Answer: LCM of 737, 285, 750, 190, 768 is 1344288000.

2. How to calculate the LCM of 737, 285, 750, 190, 768?

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 737, 285, 750, 190, 768.

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}.