Given numbers are 690,750,797,744

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

The LCM of 690,750,797,744 is 1704783000.

Find LCM of 690,750,797,744 with Prime Factorization

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

2 x 3 x 5 x 23 x 25 x 797 x 124 = 1704783000

Therefore, the lowest common multiple of 690,750,797,744 is 1704783000.

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.

690 x 750 x 797 x 744 = 306860940000

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.

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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

797 : 1, 797

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,750,797,744, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

750:2x 3x 5x 5x 5

797:797

744:2x 2x 2x 3x 31

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 5 = 180

Therefore, the value for common factors is 180.

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 = 306860940000/(1x180)

LCM = 306860940000/180

LCM = 1704783000

Thus, we can understand that the LCM of 690,750,797,744 is 1704783000.

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

• LCM of 790, 404, 660, 372
• LCM of 705, 707, 538, 169
• LCM of 265, 767, 282, 736
• LCM of 809, 226, 194, 535
• LCM of 835, 724, 566, 755

1. What is the LCM of 690, 750, 797, 744?

Answer: LCM of 690, 750, 797, 744 is 1704783000.

2. How to calculate the LCM of 690, 750, 797, 744?

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 690, 750, 797, 744.

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}.